Question

Find the surface area of the cone in terms of pi.

Answer 1

Surface area of cone is 60π cm^2

Option A is correct.

Step-by-step explanation:

We are given:

Height = 17cm

Radius= 3cm

We need to find surface area of cone in terms of π.

The formula used to find surface area of cone is:

$Surface\,\,area\,\,of\,\,cone=\pi r(r+\sqrt{h^2+r^2})$

Putting values:

$Surface\,\,area\,\,of\,\,cone=\pi r(r+\sqrt{h^2+r^2}) \\Surface\,\,area\,\,of\,\,cone=\pi \,3(3+\sqrt{(17)^2+(3)^2})\\Surface\,\,area\,\,of\,\,cone=\pi \,3(3+\sqrt{289+9)}\\Surface\,\,area\,\,of\,\,cone=\pi \,3(3+\sqrt{298)}\\Surface\,\,area\,\,of\,\,cone=\pi \,3(3+17)\\Surface\,\,area\,\,of\,\,cone=\pi \,3(20)\\ Surface\,\,area\,\,of\,\,cone=60\pi$

So, Surface area of cone is 60π cm^2

Option A is correct.

Keywords: Surface area of cone

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