Question

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer 1

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

$Section = 4847.3205\ in^3$

Step-by-step explanation:

Given

$h = 15in$ -- height

$d = 22in$ -- diameter

Required

85% of the volume

First, calculate the radius

$r = \frac{1}{2} * d$

$r = \frac{1}{2} * 22= 11in$

The volume (V) is then calculated using:

$V = \pi r^2h$

$V = 3.142* 11^2 * 15$

$V = 5702.73\ in^3$

85% of the volume is:

$Section = 85\% * V$

$Section = 85\% * 5702.73\ in^3$

$Section = 4847.3205\ in^3$