Question

A melon ball with a radius of 2cm is placed in a cylindrical bowl with a diameter of 14 cm and height of 4 cm. How much space is left in the bowl? Round to the nearest tenth of a cubic centimeter.

HINTS 1. Find the volume of the bowl and then subtract the volume of the melon ball from it, as the ball takes up as much space as its volume.
A. 318.3cm^3
B. 582.2 cm^3
C. 649.3 cm^3
D. 2429.5 cm^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, let's find the volume of the melon ball using the formula for the volume of a sphere:

V = (4/3)πr^3
V = (4/3)π(2)^3
V = (4/3)π(8)
V = (32/3)π
V ≈ 33.51 cm^3

Next, let's find the volume of the cylindrical bowl using the formula for the volume of a cylinder:

V = πr^2h
V = π(7)^2(4)
V = π(49)(4)
V = 196π
V ≈ 615.75 cm^3

Now, let's subtract the volume of the melon ball from the volume of the bowl to find the remaining space:

615.75 - 33.51 ≈ 582.24

Therefore, the space left in the bowl is approximately 582.2 cm^3.

So, the answer is B. 582.2 cm^3.