Question

Can someone help me with this geometry question? First box: cylinder or sphereSecond box: divide by 4, divide by 2, and multiply by 2

Answer 1

Step-by-step explanation

The given figure (silo) is a composite figure. This means that it consists of more than one figure

In our case, we have the composite figure to be a silo that comprises half a sphere (which is also called a hemisphere) and a cylinder

Thus, the volume of the cylinder will be

`Area\text{ of silo =volume of a hemisphere + volume of a cylinder}`

The total height of the silo is 100 feet

If the height of the silo is 100 feet, the height of the hemisphere will be 15 feet

Also. the radius of both cylinder and hemisphere is 15 feet

This means that the height of the cylinder will be 100feet - 15 feet = 85 feet

The volume of a hemisphere is

`V=(2)/(3)\pi r^3`

Also, it is

`Volume\text{ of hemisphere = }(1)/(2)* volume\text{ of a sphere}`

Then we can answer the question :

To find the volume of the silo, find the volume of a sphere with a radius of 15 feet and divide by 2 . Then add the volume of a cylinder with a radius of 15 feet and a height of 85 feet