Question

The curved surface area of a cone is 12320 sq cm. if the radius of its base is 56 cm, find its
height.

Answer 1

See the attachment given below.

Answer 2

Here, radius of base of a cone (r) = 56 cm

And, curved surface area = 12320 cm2

πrl = 12320

l = 12320πr

= 12320×722×56 = 70 cm

Again, we have

r2 + h2 = l2

h2 = l2 – r2 = 702 – 562

= 4900 – 3136 = 1764

h = √1764 = 42 cm

Hence, the height of the cone is 42 cm.