Question

The volume and the total surface area of a cone whose height and slant height are 12 cm and 13 cm respectively are?​

Answer 1

Height = h = 12 cm

Slant height = l = 13 cm

Radius = r = ?

l² = h² + r²

13² = 12² + r²

169 = 144 + r²

169 - 144 = r²

25 = r² , 5 = r

Volume of cone = $\pi r^2\frac{h}{3}$

Volume = 22/7 × 5² × 12/3 = 22/7 × 25 × 4 = 314.28 cm³

TSA of cone = $\pi r(r+l)$

TSA = 22/7 ×  5 ( 5 + 13) = 22/7 × 5 × 18 = 282.85 cm²

hope it helps !!