If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
The volume of a cone of base radius 'r', and height 'h', = 1/3πr²h
Volume of the cone = 48π cm³
Height of the cone, 'h' = 9 cm
Radius of the cone, 'r' = ?
1/3πr²h = 48π cm³
r² = 48 cm3 × 3 / h
r² = 48 cm3 × 3 / 9 cm
r² = 16 cm²
r = √16 cm²
r = 4 cm
Base diameter, 'd' = 2 × radius(r)
= 2 × 4 cm
= 8 cm
The diameter of the box of the right circular cone is 8 cm.
If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base.
NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.7 Question 4
It is given that the volume of a right circular cone of height 9 cm is 48π cm3. We have found that the diameter of the box of the right circular cone is 8 cm.
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