Answer :
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
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
