Answer :
Substitute the values of the radius (r=3), the height (h=11), and an approximation of Pi (3.14) into the formula to find the volume of the cone.
V≈+1/3⋅3.14⋅3^2⋅11
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⋅3^2⋅11
Divide 3.14 by 3 to get 1.04666667.
V≈+1.04666667⋅3^2⋅11
Raise 3 to the power of 2 to get 9.
V≈+1.04666667⋅9⋅11
Multiply 1.04666667 by 9 to get 9.42.
V≈+9.42⋅11
Multiply 9.42 by 11 to get 103.62.
V≈+103.62
Remove trailing zeros from 103.62.
V≈+103.62ft^3
Volume:
V≈+103.62ft^3
V≈+1/3⋅3.14⋅3^2⋅11
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⋅3^2⋅11
Divide 3.14 by 3 to get 1.04666667.
V≈+1.04666667⋅3^2⋅11
Raise 3 to the power of 2 to get 9.
V≈+1.04666667⋅9⋅11
Multiply 1.04666667 by 9 to get 9.42.
V≈+9.42⋅11
Multiply 9.42 by 11 to get 103.62.
V≈+103.62
Remove trailing zeros from 103.62.
V≈+103.62ft^3
Volume:
V≈+103.62ft^3
so volue of a cone=1/3 times (area of base) times height
area of base=circle so
find area of base/circle
pi times r^2
3.14 times 3^2
3.14 times 9
28.26
1/3 times 28.26 times 11=103.62 cm^3
area of base=circle so
find area of base/circle
pi times r^2
3.14 times 3^2
3.14 times 9
28.26
1/3 times 28.26 times 11=103.62 cm^3
