Ex 13.7, 6
The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find
height of the cone
Radius of cone = r = = cm = 14 cm
Let Height of cone = h cm
Volume of the cone = 9856 cm3
πr2h = 9856
= 9856
h =
∴ h = 48
Thus, the height of the cone = 48 cm.
Ex 13.7, 6
(ii) slant height of the cone
Here, r = 14 m and h = 48 cm
Let slant height be l
We know that
l2 = r2 + h2
l2 =
l2 =
l2 =
l =
l =
l = 50 cm
Thus, the slant height of the cone = 50 cm.
Ex 13.7, 6
(iii) curved surface area of the cone
We know that,
r = 14 m and = 50 cm.
Curved surface area = πr
= cm2
= cm2
= 2200 cm2

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.