Question

Q. A cone of height 24 cm has a curved surface area 550 cm?. Find its volume.
[Take pi = 22/7]​

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

Answer:

h= 24 cm ,CSA= 550cm , volume=?

Step-by-step explanation:

Right circular cone

Solve for volume

V≈831.74cm³

h Height

24

cm

A Surface area

550

cm²

A=πrl+πr2

AB=πr2

V=ABh

3

l=r2+h2

Solving forV

V=A2h

3(πh2+2A)=5502·24

3·(π·242+2·550)≈831.74163cm³