SOLUTION: May you please help me with this question??: If the volume of a right cone is 72p(72 PI, can't put the sign on, srry), find the surface area if its height and radius are equal.

Question 33541This question is from textbook Addison-Wesley Geometry
: May you please help me with this question??:
If the volume of a right cone is 72p(72 PI, can't put the sign on, srry), find the surface area if its height and radius are equal.
Thank you. This question is from textbook Addison-Wesley Geometry

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let's first find the radius of the right circular cone from the given information.
The volume of a right circular cone is given by:
= but since r = h we can rewrite this and simplify it.
Divide both sides by and multiply both sides by 3.
Take the cube-root of both sides.

So the radius, r = 6
The surface (lateral) area of a right circular cone is given by:
but since r = h, we can rewrite this and simplify it.

Now substitute r = 6.

This is the surface area of the cone.
RELATED QUESTIONS
As sand is poured from a chute, it forms a right circular cone whose height is one-fourth (answered by ankor@dixie-net.com)

Hello, Can someone please help me. Find the approximate value of the volume of the... (answered by stanbon)

can you please help me solve ((( Find the volume of a right cone with radius 6cm and... (answered by solver91311)

Good day! Can you help me with this problem? Find the volume of a cone formed from a... (answered by Alan3354)

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

The volume of a cone varies jointly as its height and the square of its radius. If the... (answered by josgarithmetic,greenestamps)

can you help me with this problem? find the approximate value of the volume of the right (answered by scott8148)

Please help me with this problem: A right circular cone is inscribed inside a hemisphere (answered by Alan3354)