Question

What is the volume of a hemisphere with a radius of 9.8in, rounded to the nearest tenth of a cubic inch?

Answer 1

Given:

Given that the radius of the hemisphere is 9.8 inches.

We need to determine the volume of the hemisphere.

Volume of the hemisphere:

The volume of the hemisphere can be determined using the formula,

`V=(2)/(3) \pi r^3`

where r is the radius of the hemisphere.

Substituting r = 9.8 in the above formula, we get;

`V=(2)/(3) (3.14)(9.8)^3`

Simplifying, we get;

`V=(2)/(3) (3.14)(941.192)`

`V=(5910.69)/(3)`

`V=1970.23`

Rounding off to the nearest tenth, we get;

`V=1970.2 \ in^3`

Thus, the volume of the hemisphere is 1970.2 cubic inches.

Answer 2

The volume of a hemisphere is 1971.23 cubic inches, if a radius of a hemisphere is 9.8 inches.

Explanation:

The given is,

Radius of hemisphere is 9.8 inches.

Step:1

Formula of volume of hemisphere is,

`V_(Hemisphere) = (2)/(3) \pi r^(3)`..................(1)

Where,

r - Radius of hemisphere

Step:2

From the given,

r = 9.8 inches

Equation (1) becomes,

`V_(Hemisphere) = (2)/(3) \pi (9.8)^(3)`

=
`(2)/(3) \pi (942.192)`

=
`(2)/(3) (3.1415) (942.192)`
`(\pi =3.1415)`

= (0.66666666)(3.1415)(942.192)

= 1971.23

Volume of hemisphere = 1971.23 cubic inches

Result:

The volume of a hemisphere is 1971.23 cubic inches, if a radius of a hemisphere is 9.8 inches.