A perfectly spherical scoop of ice cream has a surface area of 36π cm2 and the same diameter as the open end of the ice cream cone it rests on. The cone is 11 cm tall. If the ice cream melts into the cone, what volume of ice cream will overflow?

Answers

Answer 1

Answer:

9.43 cm³

Step-by-step explanation:

Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius

36π cm² = 4πr²

r² = 36π cm²/4π

r² = 9 cm²

r = √(9 cm²)

r = 3 cm

So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3

= 4π(3 cm)³/3

= 4π(9 cm³)

= 36π cm³

The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm

V' = π(3 cm)² × 11 cm/3

= 9π cm² × 11 cm/3

= 33π cm³

So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³

= 3π cm³

= 9.43 cm³


Related Questions

1 meter of ribbon costs $3
how much do you pay for 2 3/4
If correct I will brainest u

Answers

Answer:

You pay $8 [tex]\frac{1}{4}[/tex] for 2 [tex]\frac{3}{4}[/tex] meters of ribbon

Step-by-step explanation:

Let us solve the question

∵ 1 meter of ribbon costs $3

∵ We need to find the cost of 2 [tex]\frac{3}{4}[/tex] meters

→ Separate the length of the ribbon to a whole number and a fraction

∵ The length of the ribbon = 2 m + [tex]\frac{3}{4}[/tex] m

→ Multiply each part by the cost of 1 meter

∵ The cost of 1 meter = 3 dollars

∴ The cost of the ribbon = 3 × 2 + 3 × [tex]\frac{3}{4}[/tex]

The cost of the ribbon = 6 + [tex]\frac{9}{4}[/tex] dollars

→ Change the improper fraction [tex]\frac{9}{4}[/tex] to a mixed number

∵ 9 ÷ 4 = 2 [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 6 + 2 + [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 8 + [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 8 [tex]\frac{1}{4}[/tex] dollars

You pay $8 [tex]\frac{1}{4}[/tex] for 2 [tex]\frac{3}{4}[/tex] meters of ribbon

Help please please help me please please help please please ASAP please please help please please ASAP please please help

Answers

Answer:

the answer is 13 .

Step-by-step explanation:

it is a right angle which is 90 degrees, they already gave you 53 and 24 so you add those and get 77. then you subtract 77 from 90. that gives you 13!

Answer:

Start with: sin 53° = 24/w

Multiply both sides by w: w × (sin 53°) = 24

Divide both sides by "sin 53°": w = 24 / (sin 53°)

Calculate: w = 24 / 0.79863551

 w = 30.1

Step-by-step explanation:

i think this is it not entirely sure hope it helps

4 - 2y + (-8y) +6.7 =

Answers

ans 10.7 -10y

STEP BY STEP
4-2y-8y+6.7
group like terms
so 4+6.7-2y-8y
and: 10.7-10y

help me pleaseeee ( measurement )

Answers

A is 90, B is 65, C is 49, and D is 4.

Answer: a. 90 b. 65 c. 49 d. 4

a. A scalene and right triangle.

b. An isosceles and acute.

c. An obtuse.

d. An isosceles and acute.

Which of the following statements are true?
Select all that apply.

Answers

Answer: 1 2and 4

Step-by-step explanation:

During a sale each item in the store is 80% off it's regular price if the regular price of a t-shirt is $18 how much is the discount ?

Answers

Answer:

so u will pay 3.82 and u will save 15.26 dollars

Step-by-step explanation:

Answer:

14.40$

Step-by-step explanation:

There are 60 cookies and 10 cupcakes leftover at a
bake sale. What is the ratio of cupcakes to
cookies? Your answer it must be in simplest form.

Answers

Answer:

1:6

Step-by-step explanation:

10cc:60C

5cc:30C

1cc:6C


Which values are greater than -2

Answers

Answer:

what are the choices

Step-by-step explanation:

-1 0 1 2 3 4 5 and up_____

The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?

Answers

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

Can someone help me with this :( .

Answers

Answer:

The answer is B.

Step-by-step explanation:

because the starting point is 3 and by the use of the slope triangle, you end with 4 for the slope.

Write the fraction 9/54 in simplest form.​

Answers

Answer: 1/6

9 goes into 9 once

9 goes into 54 six times

The simplified form of the given fraction 9/54 is 1/6.

To simplify the fraction 9/54, we can find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.

The factors of 9 are 1, 3, and 9, while the factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

The highest common factor of 9 and 54 is 9.

Dividing both the numerator and the denominator by 9, we get:

9 ÷ 9 = 1

54 ÷ 9 = 6

Therefore, the simplified form of the given fraction 9/54 is 1/6.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

I need help. Me and my friend are arguing is it pronounced math or maths. first to tell me gets 20 points

Answers

ngl It’s both i think there’s a reason to why both words exist lol

answer

its obviously math

What is the slope of a line that passes through the points (–3, 2) and (–6, 5)?
A. 1
B. -3
C. -1
D. 1/3

Answers

Answer:

c

uehekeiekekekeiejejhe

Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24%, and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

15.4

Step-by-step explanation:

im too tired to explain -_-

2 is what percent of 20?

Answers

Answer:

%10

Step-by-step explanation:

20/2=10

100/10=10

%10

Hannah looked at 2 websites every 6 hours. At that rate how many would she look at in 9 hours?

Answers

Answer:  at that rate she would check 3 websites, coz

in 6hrs she checks 2 websites,

so, she'll check 1 website in = 6/2 = 3hrs

so in 9 hrs she'll check = 9/3 = 3 websites

Hope it helped u,

mark as the brainliest

^_^

HELP ME PLEASE PLEASE HURRY MATH FOR A P EX

Answers

D
where they meet at is 2,6

Answer:

[tex]\huge\boxed{\sf (2,6)}[/tex]

Step-by-step explanation:

The solution to a graphed system of equation is the common point at which the two lines are intersecting.

So,

The common point to these two lines is:

(x,y) = (2,6)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

0.6x = 1.2x + 6 A) −1 B) −10 C) 1 D) 10

Answers

Answer:

x = -10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

youst use desmos

The diameter of a circle is 2 km. What is the circle's radius?
The radius of the circle is
km.
Enter the answer

Answers

Answer:

1km

Step-by-step explanation:

radius is half the diameter

diameter is double the radius

Answer:

1km

Step-by-step explanation:

diameter: the whole circle

diameter formula: d=2r

radius: half of the circle

Just remember to divide the diameter by two to get the radius

*extra bonus thing* circumference: πd

r=radius

d=diameter

π=3.14

may sound complicated but its just dividing and multiplying.

Hope this helped.

what is the Riemann hypothesis

Answers

in mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part
1
/
2
. Many consider it to be the most important unsolved problem in pure mathematics (Bombieri 2000). It is of great interest in number theory because it implies results about the distribution of prime numbers. It was proposed by Bernhard Riemann (1859), after whom it is named.

Answer:

What is the Riemann hypothesis simply explained?

The Riemann hypothesis asks if every non-trivial root (white dot) would be on the line down the middle. If the answer is no, we say the "hypothesis is false". This would mean that there are white dots which are not on the line given.

Please vote 4 BRAINLIEST

can anyone give me the answer?

Answers

the answer is c

i hope this helps you!!!!!!!!!!

Calculate and express your answer in decimal form (0.25)•60

Answers

Answer:

0.15

Step-by-step explanation:

A scatterplot has a positive, linear correlation. Which statement is true about the relationship between the x- and y-
values?
o As the x-values increase, the y-values tend to increase.
As the x-values increase, the y-values tend to decrease.
As the x-values decrease, the y-values tend to increase.
O As the x-values decrease, the y-values tend to vary randomly.

Answers

Answer:

Hence, option: A is the correct answer.

A. As the x-values increase, the y-values tend to increase.

Step-by-step explanation:

It is given that:

A scatterplot has a positive, linear correlation.

By positive we means that as the x-value increases the y-value also keeps on increasing and by linear relation we mean that it increases somewhat by a constant amount so that the we get a line of best fit.

Hence, the statement which  is true about the relationship between the x- and y-values is:

A. As the x-values increase, the y-values tend to increase.

Answer:

a: As the x-values increase, the y-values tend to increase.

Step-by-step explanation:

edg2021

what is the value of the expression 0.5 (3x + 2/y) when x = 2 and y = 4

Answers

Answer:

3.25

Step-by-step explanation:

distribute .5 to 3 and 2

plug in x and y

3+1/4=3.25

The answer will be four 4 because you plug the numbers in for x and y

please help asap! i’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

Answer:

its A) love bc 1/f multipled  by 1/3 = 2/9

Step-by-step explanation:

How many 1/8s are there in jacob's 6 aquriums

Answers

Answer:

48 1/8s

Step-by-step explanation:

a whole is 8/8 so u multiply 8 by 16 to get 48

hope this helps

please mark brainliest

have an amazing day!!!

..........................

Answers

Answer:

blue

Step-by-step explanation:

1.) A florist sells bouquets for $12.25 each. Amiyah
has $61.25 to spend. How many bouquets can she
afford?

Use x to represent the number of bouquets that
Amiyah can afford.

Equation: Choose one.
a) x + 12.25 = 61.25
b) x - 12.25 = 61.25
c) 12.25x= 61.25
d) 61.25x = 12.25
Solve. Show work

Giving 20 points please helpppp

Answers

Answer is c
61.25 divided by 12.25 is 5
So she has enough for 5 bouquets

options are a)80° b)100° c)40° d)90°
please help​

Answers

Answer:

100!!!

Step-by-step explanation:

Because a straight line in geometry is equal to 180 SO...

180-80=100

Hope that helps!!

what is one fifth of the difference of a number and 1

Answers

Answer:

1/5(1-x)

Step-by-step explanation:

Distributed

1/5-1/5x

Answer:1/5 (n-1)

Step-by-step explanation: Because say 1/5 and difference means subtract and number means variable and 1 means subtract it with the variable.

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