Answer:
*The height is 6 units.
*The radius is 8 units.
*The volume is exactly cubic units.
An approximation for the volume would be cubic units.
Step-by-step explanation:
To find the radius, we will have to use Pythagorean Theorem (or remember some Pythagorean Triples-either way).
Slant height=10 units (this is the hypotenuse length)
Radius=r units (trying to find this leg length)
Height=6 units (we are given this leg length)
So we have to solve:
Subtract 36 on both sides:
Square root both sides:
The radius is 8 units.
To find the volume of a cone, we will use the formula .
So the volume is exactly units cubed.
An approximation for this volume would be 402.124 units cubed (if we took an approximation of pi and multiply it to 128).