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

step-by-step explanation:

a and d

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh