Question

The total surface area of a cone is 814 cm². If the sum of its slant height and the radius of its base is 37cm, find the slant height of the cone.

GIVE A SHORT AND SWEET AND UNDERSTANDABLE ANSWER
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Answer 1

slant Height = 30cm

Explanation:

Surface Area of Cone = πr² + πrl

where,

r = radius

l = slant height

GIVEN:- SA = 814 cm²

and

l + r = 37

πr² + πrl

πr (r + l)

πr (37) = 814

22/7 × r × 37 = 814

814/7r = 814

r = 814 × 7/814

r = 7

as,

l + r = 37

l + 7 = 37

l = 37 - 7

l = 30 cm

Slant Height = 30 cm.