134k views
4 votes
PLS HELP

A cone has a volume of 803.84 cubic millimeters and a radius of 8 millimeters. What is its height?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

h ≈
millimeters

PLS HELP A cone has a volume of 803.84 cubic millimeters and a radius of 8 millimeters-example-1

2 Answers

0 votes

Answer:

3.19 millimeter round of nearest hundred

User Stefano Sala
by
3.5k points
9 votes

The calculated height of the cone is 12.00 millimeters

How to determine the height of the cone

From the question, we have the following parameters that can be used in our computation:

Volume = 803.84 cubic millimeters

Radius = 8 millimeters

The volume of the cone is calculated using

V = 1/3πr²h

Substitute the known values into the equation

1/3 * 3.14 * 8²h = 803.84

This gives

66.99h = 803.84

Lastly, we have

h = 803.84/66.99

h = 12.00

Hence, the height of the cone is 12.00 millimeters

User Oleg Neumyvakin
by
3.3k points