Question

The radius &slant height of a cone ate in the ratio 7:25 .if its curved surface area is 550 sq.cm then its height is?

Answer 1

Hey mate!

Here is your answer > >

Given ratio = 7:25

Radius of cone, r=7x

Slant height of cone, l=25x

Curved surface area of cone = $\pi$ rl

550=22/7×7x×25x

550=550x^2

x^2=550/550

x^2=1

x=1

=> Slant height of cone=25x=25 cm and

Radius of cone=7x=7 cm

Height of cone=?

l^2=h^2+r^2

25^2=h^2+7^2

625=h^2+49

h^2=625-49

h^2=576

h^2=24^2

h=24 cm

Hope it helps!

Thankyou ☆ ☆