Question

The volume of this cone is 540 pi. Work out the height, h, of the cone. h 9 cm​

Answer 1

Answer:

Let r cm be the radius and l cm the slant height. Then,

l2=r2+242

l2=r2+576

l=r2+576

Curved surface area = 550 cm2

πrl=550

722×r×r2+576=550

rr2+576=25×7

r2(r2+576)=252×72

r4+576r2−(625×49)=0

(r2+625)(r2−49)=0

r=7

Volume = 31πr2h=31×722×49×24=1232 cm3

Answer 2

h = 20

Step-by-step explanation:

➳540π = 1/3 . h . π . 9²

get rid of π

➳540 = 1/3 . h . 9²

multiply by 3 to get rid of 1/3

➳3 . 540 = h . 9²

➳1620 = h . 81

divide by 81

➳1620/81 = h

➳20 = h