Question

$\pi$

Surface area of a cone is 188.4 sq.cm and its slant height is 10cm. Find its volume ( pha= 3.14)​

Answer 1

Answer:

V of cone = 271.296 cm^3

Step-by-step explanation:

CSA of cone = pi × r × l

188.4 = 3.14 × r × 10

188.4 = r × 31.4

r = 188.4 ÷ 31.4

Here, point will get cancelled.

r = 1884 ÷ 314

r = 6 cm

Since, l^2 = r^2 + h^2

Therefore, h^2 = l^2 - r^2

=> h^2 = 10^2 - 6^2

=> h^2 = 100 - 36

=> h = root 64

=> h = 8 cm

So, V of cone = 1/3 × pi × r^2 × h = 1/3 × 3.14 × 6^2 × 8 = 0.3 × 3.14 × 36 × 8 = 0.942 × 288

=> V of cone = 271.296 cm^3

Hope it helps u !!!!!!!!