Question

1.)Find the volume of a cylinder that has a radius of 1/2 and a height of 1.

2.) What is the volume of a sphere with a diameter of 11ft? Round your answer to the nearest cubic foot.

2786 cubic feet
5572 cubic feet
8359 cubic feet
6193 cubic feet
3.) Find the volume of a cone that has a radius of 1/2 and a height of 1.
answer choices :
1/12pie
3/2pie
3/4pie
1/6pie

Answer 1

a.V=1.57

b. 2786 cubic feet (696.9)

c. 1/12 pie

Explanation:

a. I have that the volume of a cylinder can be expressed as
`V= \pi r^(2) h` what would be the base (the area of ​​the circle) by the height, so
`V=\pi * ((1)/(2)) ^(2) *1 =(\pi )/(2) = 1.57`

b. The volume of a sphere is given by the formula
`V=(4)/(3) \pi r^(3)` as the diameter is twice the radius I have to

`V= (4)/(3) \pi ((d)/(2) )^(3) =(4)/(3) \pi (5.5)^(3) = 696.9`cubic feet the nearest cubic foot be 2786 cubic feet

c. The volume of a cone is given by the formula
`V=(1)/(3) \pi r^(2) h` so
`V=(1)/(3) \pi r^(2) h=(1)/(3) \pi ((1)/(2) )^(2) *1=(1)/(3)\pi (1)/(4)=(1)/(12)\pi`