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,

$V=\frac{2}{3} \pi r^3$

where r is the radius of the hemisphere.

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

$V=\frac{2}{3} (3.14)(9.8)^3$

Simplifying, we get;

$V=\frac{2}{3} (3.14)(941.192)$

$V=\frac{5910.69}{3}$

$V=1970.23$

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.

Step-by-step explanation:

The given is,

                   Radius of hemisphere is 9.8 inches.

Step:1

                  Formula of volume of hemisphere is,

                              $V_{Hemisphere} = \frac{2}{3} \pi r^{3}$..................(1)

                  Where,

                            r - Radius of hemisphere

Step:2

                  From the given,

                           r = 9.8 inches

                  Equation (1) becomes,

                              $V_{Hemisphere} = \frac{2}{3} \pi (9.8)^{3}$

                                                  = $\frac{2}{3} \pi (942.192)$

                                                  = $\frac{2}{3} (3.1415) (942.192)$           $(\pi =3.1415)$        

                                                  = (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.