What is the volume of a hemisphere with a diameter of 51.8 inches rounded to the nearest 10th of a cubic inch?

volume of a hemisphere ≈ 36369.5 in³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

                                        = πr³   ÷   2

                                        = πr³

where r is the radius

from the question given, diameter = 51.8 inches

but diameter = 2r , this implies that r =    hence   r = = 25.9 inches

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

volume of a hemisphere    = πr³

                                                = × 3.14 ×25.9³

                                                = × 3.14×17373.979

                                                 ≈36369.5 in³ to the nearest tenth cubic inch.

volume of a hemisphere ≈ 36369.5 in³

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