The diagram shows a solid shape.
The volume of the cone is 270cm. V
\ 10 cm Work out the volume of the solid shape.
Give your answer in terms of t.

or

Step-by-step explanation:

step 1

Find the radius of the circular base of the cone

The volume of the cone is equal to

we have

substitute

simplify pi

step 2

Find the volume of the hemisphere

The volume is equal to

we have

----> is the same that the radius of the cone

substitute

step 3

Find the volume of the solid shape

we know that

The volume of the solid shape is equal to the volume of a cone plus the volume of a hemisphere

so

Convert to mixed number

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .