Cone:
The base of a cone is a circle.
So the base area is given by:
Ab = pi*r²
In which r is the radius.
In this question: r = 7. So
Ab = pi*7² = 49pi
The area of the base is approximately 49pi square centimeters.
The volume is the base area, multiplied by the height and divided by 3.
The base area is 49pi.
The height is 28.
So the volume is:
49*pi*28/3 = 1436 cubic centimeters.
So V ~~(1/3)*49pi*28, or about 1437 cubic centimeters.
Pyramid:
Base area 154 square centimeters(close to the cone).
Same height as the cone
So same volume
The cone and pyramid have nearly the same volumes
154 square centimeters
154
1437
Greater