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Lesechka [4]
3 years ago
7

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

Mathematics
2 answers:
Basile [38]3 years ago
8 0

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.                                                                            

Fofino [41]3 years ago
5 0

<u>Given</u>:

Given that the radius of the hemisphere is 9.8 inches.

We need to determine the volume of the hemisphere.

<u>Volume of the hemisphere:</u>

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.

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