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:
[tex]Section = 4847.3205\ in^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15in[/tex] -- height
[tex]d = 22in[/tex] -- diameter
Required
85% of the volume
First, calculate the radius
[tex]r = \frac{1}{2} * d[/tex]
[tex]r = \frac{1}{2} * 22= 11in[/tex]
The volume (V) is then calculated using:
[tex]V = \pi r^2h[/tex]
[tex]V = 3.142* 11^2 * 15[/tex]
[tex]V = 5702.73\ in^3[/tex]
85% of the volume is:
[tex]Section = 85\% * V[/tex]
[tex]Section = 85\% * 5702.73\ in^3[/tex]
[tex]Section = 4847.3205\ in^3[/tex]
