SOLUTION: A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder

Question 1041662: A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder as a function of r.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder as a function of r.
--------
Find the height of the cylinder in terms of r.
---
h/20 = (15-r)/15
h = 20 - 4r/3
---
Vol of cyl = pi*r^2*h
0 < r < 15
=====================
Note that the 1st term shows r^2 --> area in sq cms.
The 20 has units of cms also --> cc of volume.
RELATED QUESTIONS
Find the dimensions of the right circular cylinder of greatest volume that can be... (answered by greenestamps)

Hi, Please can somebody help with this, The base radius r cm of a right-circular cone... (answered by richard1234)

Find the volume of the largest cylinder that can be inscribed in a right circular cone of (answered by solver91311)

Tyrone has a right circular cone whose height is 18 cm, and the radius of whose base is 5 (answered by Alan3354)

Find the surface area and volume of a right circular cylinder with radius r=9 cm and... (answered by Lightning_Fast)

the area of the base a right circular cone is 38.50 sq. cm. if its height is three times... (answered by ankor@dixie-net.com)

A solid metal model of a rocket is made by fastening a cone of vertical height 49 cm and... (answered by mananth)

a circular piece of paper of radius 20 cm is cut in half and each half is made into a... (answered by ikleyn)

A cylinder is drawn in a cone of height, H, and base, R. If the height and radius of the... (answered by josgarithmetic)