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

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,

where r is the radius of the hemisphere.

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

Simplifying, we get;

Rounding off to the nearest tenth, we get;

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

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,

                              ..................(1)

                  Where,

                            r - Radius of hemisphere

Step:2

                  From the given,

                           r = 9.8 inches

                  Equation (1) becomes,

                                                  =

                                                  =                  

                                                  = (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.                                                                            

560

step-by-step explanation:

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