Question

Please help asap xx

The picture below shows a container that Jeff uses to freeze water:

What is the minimum number of identical containers that Jeff would need to make 2000 cm3 of ice? (Use π = 3.14.)

A. 8
B. 4
C. 2
D. 16

Answer 1

Hey! This is very long overdue!

The diameter is 8 and we'll reduce that to 4 so we can use $\pi$R2. 
3.14*16 is 50.24. Then we'll multiply that by the height which is 10 to get 502.4cm3.

Now we'll divide 2000/502.4 to see how many containers Jeff would need to make to make 2000 cm3 of ice.

This comes out to 3.98 but we can round it up to 4.

B. 4

(should I explain?)

Answer 2

Hey there!

We are looking for cm$^{3}$, so therefore we will be dealing with volume.

The formula for the volume of a cylinder is shown below.

V= h($\pi$r²)

Our base has a diameter of 8. The radius is half of the diameter, so our radius is 4. Our height is also 10, so will plug that in for h.

We can plug our values into the equation.

V= 10($\pi$4²)

V=10(16$\pi$)

We simplify further, using 3.14 for pi.

V=10(50.24)

V=502.4

Therefore, the volume of one cylinder is 502.4.

Now, we need to see how many of these cylinders we need to get 2,000 cm³ of ice. We will divide below.

2,000÷502.4≈3.98

Therefore, we cannot have 2 as it will not be enough. 3.98 is about 4, so that would be the best minimum amount.

Therefore, your answer would be B) 4.

I hope this helps!