What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?

1 answer:

3 0

Volume of a sphere = 4/3 pi r^3
A hemisphere is half a sphere so 1/2*4/3 pi r^3 = 2/3 pi r^3
Given diameter = 12.6 but we need radius so diameter /2 or 12.6/2 r=6.3
2/3*pi*6.3^3 =
2/3*pi*250.047
166.698*pi
= 523.7

You might be interested in

Chelsea has an electronics business. during her first year she collected data on different prices that yield different profits.

Ainat [17]

The two black circles represents "The selling prices that produces no profit." If the selling is 10, the profit is 0. If the selling price is 60, the profit is 0.

The selling price that provides the maximum profit is represented by the red dot. It is between the selling price of 30 and 40. Its maximum profit is equal to 12,000.

4 0

2 years ago

Read 2 more answers

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

mash [69]

Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
$Area= \frac{5}{2} x\times2.8=7x$

Therefore, the volume of the prism is given by
$Volume=7x(2x+1)=14x^2+7x$