MATH SOLVE

6 months ago

Q:
# Write the steps you would use to find a formula for the volume of the figure at right. Then write the formula.*Needed within the next 5 hours, please help. Will give out brainliest!*

Accepted Solution

A:

So there are two shapes: a hemisphere and a cylinder

(1) Volume of a sphere = (4/3)*πr^3, therefor the volume of a hemisphere would be (2/3)*πr^3

(2) Volume of cylinder = πr^2h

Here the height is r therefor volume = πr^2*r = πr^3

So total volume = (2/3)*πr^3 + πr^3

= (5/3)*πr^3

(1) Volume of a sphere = (4/3)*πr^3, therefor the volume of a hemisphere would be (2/3)*πr^3

(2) Volume of cylinder = πr^2h

Here the height is r therefor volume = πr^2*r = πr^3

So total volume = (2/3)*πr^3 + πr^3

= (5/3)*πr^3