Question

The Curved surface
surface area of a cone
of radius
8cm is 352cm find the height​

Answer 1

Answer:

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Step-by-step explanation:

Given: curved surface area of cone is 352cm² with radius of 8cm.

To Find: the height of cone(h) = ?

Formula

curved surface area of cone=πrl

Here,

π = 22/7

r = radius

l = slant height

Solution

⟹352 square=πrl

⟹352cm2=22/7×8×l

⟹ 2464/22=8l

⟹112=8lcm

⟹l= 112/8

⟹ l=14cm

By Pythagoras theorem,

(Slant height)² = (height)² + (radius)²

height= √(14) square−(8) square

height= √196−64

height= √132

⟹height=11.4cm

therefore height of cone i11.4cm