Question

if curved surface area of cone is 314 and radius is 21 then find slant height​

Answer 1

Answer:

Right circular cone

Solve for slant height

l=?

r Radius

21

A Surface area

314

Answer 2

Step-by-step explanation:

cone are in the ratio of 5:12.

Let the radius and height be 5x, 12x respectively.

Volume of cone = 314 cm3. (given)

We know, Volume of cone = 1/3 πr2h

1/3 πr2 h = 314

1/3 x 22/7 x (5x)2 x 12x = 314

300 x3 = 300

or x = 1

This implies,

Radius = 5 cm and

Height = 7 cm

Slant height(l) = √(h2 + r2)

√122 + 52

l = √144 + 25

l = √169

or l = 13 cm.

We know, Total surface area = πr(l + r)

= 22/7 x 5 (13+5)

= 282.6 cm2

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