Question

Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below:

Height: 15cm
Diameter: 6cm

How much water can Mary pour in the cup without it overflowing?

A.) 1,620 pi cm^3
B.) 540 pi cm^3
C.) 270 pi cm^3
D.) 180 pi cm^3

Answer 1

540 pi cm^3

Explanation:

1. find area of the circle, πr² (radius is half of the diameter)

2. find volume of cylinder, πr²(h) h is height

π * 3² * 15= 424.12

they must have meant the radius was 6cm, not the diameter.

Answer 2

540 pi cm³

Explanation:

Volume of cup = pi×r²×h

r = 6cm

h = 15 cm

Volume = pi×6²×15

= 540 pi cm³