In the Volume of Cylinders, Cones and Spheres section, a cone has a height of 6in and a slant height of 10cm. Select all that apply. *

The height and the slant height form a right triangle.
The radius of the base of the cone is 8cm.
The radius of the base of the cone is 7cm.
V = πrl
V= 1/3(πr^2)h
V = 384π inches cubed
V = 128π inches cubed

PLEASE HELP!!!!!!!!!!!

Respuesta :

Step-by-step explanation:

Given data

Height of cone h= 6in to cm =6*2.54

15.24cm

Slant height l =10cm

All that applies

1.The height and the slant height form a right triangle

2. The radius of the base of the cone is 11.5cm

Since the slant height and the height form a right triangle we can apply Pythagoras theorem

Let the base be x

l²= h²+x²

10²= 15.24²+x²

100-232.25=x²

132.25=x²

x= √132.25

x= 11.50cm

3.The volume of a cone is expressed as V= 1/3(πr^²)h