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A cone has a base radius of 7 centimeters and a height of 21 centimeters.

What is the volume of the cone?

A.
28π cm3

B.
49π cm3

C.
147π cm3

D.
343π cm3

Sagot :

heyDB
Substitute the values of the radius (r=7), the height (h=21), and an approximation of Pi (3.14) into the formula to find the volume of the cone.
V≈+1/3⋅3.14⋅7^2⋅21

Simplify.
Write 3.14 as a fraction with denominator 1. 
V≈+1/3⋅3.14/1

Combine 1/3 and 3.14/1 to get 3.14/3. 
V≈+3.14/3 

Replace back in to larger expression. 
V≈+3.14/3⋅7^2⋅21 

Divide 3.14 by 3 to get 1.04666667.
V≈+1.04666667⋅7^2⋅21

Raise 7 to the power of 2 to get 49.
V≈+1.04666667⋅49⋅21

Multiply 1.04666667 by 49 to get 51.28666667.
V≈+51.28666667⋅21

Multiply 51.28666667 by 21 to get 1077.02.
V≈+1077.02

V≈+1077.02cm^3

D.
343π cm^3
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