An ice cream cone has a volume of 120cm3. The radius of the cone is 3cm. What is the height of the cone?

Question

asked Jul 1, 2019 103k views

1 Answer

Stack Undefined · Answer 1 · 2019-07-06T11:55:43+0000

Volume of a cone: 1/3
$\pi$ r²h

Plug in 3 for r and 120 for the volume.

1/3
$\pi$ 3²h = 120

Multiply both sides by 3.

$\pi$ 3²h = 360

Divide both sides by pi.

3²h = 114.59

Divide both sides by 3² (9).

h = 12.73, or 13 (rounded to nearest cm)

The height of the cone is 13 cm.