Question 56

The curved surface area of a right circular cone is 44 $$cm^{2}$$. If the slant height of the cone is 7 cm, then find the radius of its base. [Use $$\pi = \frac{22}{7}$$]

Solution

The curved surface area of a right circular cone is 44 $$cm^{2}$$.

curved surface area of a right circular cone = $$\pi\ \times\ radius\times\ slant\ height$$

$$44=\frac{22}{7}\times\ radius\times\ slant\ height$$

If the slant height of the cone is 7 cm.

$$44=\frac{22}{7}\times\ radius\times\ 7$$

$$2=\ radius$$

Radius of its base = 2 cm

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