232k views
3 votes
The volume of a cone with a height of 6 cm is 8pie cubic centimeters. Which expression can be used to find r, the radius of the base of the cone?

The volume of a cone with a height of 6 cm is 8pie cubic centimeters. Which expression-example-1
The volume of a cone with a height of 6 cm is 8pie cubic centimeters. Which expression-example-1
The volume of a cone with a height of 6 cm is 8pie cubic centimeters. Which expression-example-2
The volume of a cone with a height of 6 cm is 8pie cubic centimeters. Which expression-example-3
The volume of a cone with a height of 6 cm is 8pie cubic centimeters. Which expression-example-4
User Kyle Shank
by
5.5k points

2 Answers

5 votes
The volume of a cone can be found by using the equation V=(1/3)(pi*r^2*H). Given the information that H= 6cm and V= 8pi cm^3, the expression is 8pi=(1/3)(pi*r^2*6). (The second picture.)
User Teodoro
by
5.3k points
3 votes

For this case we have by definition, that the volume of a cone is given by "


V = \frac {1} {3} \pi * r ^ 2 * h

Where:

h: It's the height

r: It is the cone radius

They tell us as data that the volume is 8
\piand the height is 6 cm, we must find an expression that allows to clear the radius, then:
8 \pi = \frac {1} {3} \pi * r ^ 2 * 6

Answer:

Option D

User Vishal Jagtap
by
6.4k points