MATH SOLVE

3 months ago

Q:
# A square pyramid and a cone have the same base area. The volume of the cone is 100cm^3 , and the height of the cone is 15 cm. The height of the square pyramid is 24 cm. Find the volume of the square pyramid to the nearest whole unit.

Accepted Solution

A:

Answer:160 cm³
Step-by-step explanation:1. Calculate the base area of the cone
The volume for the volume (V) of a cone is
V = ⅓Ah
Data:
V = 100 cm³
h = 15 cm
Calculation:
100 = ⅓ A× 15
100 = 5A
A = 100/5 = 20 cm²
2. Volume of Pyramid.
The volume for the volume (V) of a square pyramid is V = ⅓Ah
Data:
A = 20 cm²
h = 24 cm
Calculation:
V = ⅓× 20× 24 = 160 cm³
The volume of the square pyramid is 160 cm³.