Question

Consider a sphere with the same radius (r = 6) as the cone shown.

What is the difference in the volume between the cone and sphere? (in
terms of Pi)
A)
The volume of a cone and sphere with the same
radius (r = 6) is equal.
B)
The volume of the cone is 20471 cm larger than the
volume of the sphere.
C)
The volume of the sphere is 20471 cm larger than
the volume of the cone.
D)
The volume of the sphere is 2887 cmº larger than
the volume of the cone.

Answer 1

Answer: Volume of sphere = (4/3)*pi*r^3

Volume of cone = (1/3)*pi)r^2*h

If their volumes are same, (4/3)*pi*r^3 = (1/3)*pi*r^2*h, or

4r^3=r^2*h, or

4r = h.

The height of the cone is 4-times the radius of the sphere or the base of the cone.

Step-by-step explanation: hope you get a 100 H love how you can come on and get what you need