MATH SOLVE

4 months ago

Q:
# Julie has a cylinder containing sugar. The cylinder has a volume of 288π cubic centimeters. Which of the following could be the dimensions of Julie's sugar container?

Accepted Solution

A:

Everything here revolves around the formula for the volume of a cylinder of radius r and height h:

V = pi*r^2*h

Here, V= 288*pi cubic cm = pi*r^2*h, or

288 = r^2*h

Unfortunately, you have not shared the answer choices. But I can invent values for r and h and find the corresponding h and r:

Suppose that r = 5 cm. Then r^2 = 25 cm^2, and (25 cm^2)*h = 288 cm^3. Solving for h,

288 cm^3

h = ---------------- = 11.52 cm

25 cm^2

Look at the given possible answers and check out each set, one by one, in the same manner.

V = pi*r^2*h

Here, V= 288*pi cubic cm = pi*r^2*h, or

288 = r^2*h

Unfortunately, you have not shared the answer choices. But I can invent values for r and h and find the corresponding h and r:

Suppose that r = 5 cm. Then r^2 = 25 cm^2, and (25 cm^2)*h = 288 cm^3. Solving for h,

288 cm^3

h = ---------------- = 11.52 cm

25 cm^2

Look at the given possible answers and check out each set, one by one, in the same manner.