Question 52

The volume of a right circular cone is 3080 $$cm^{3}$$. If the radius of its base is 7 cm, then what is the height of the cone? (in cm) [Use $$\pi = \frac{22}{7}$$]

Solution

The volume of a right circular cone is 3080 $$cm^{3}$$. If the radius of its base is 7 cm.

the volume of a right circular cone = $$\frac{1}{3}\times\ \pi\ \times\ \left(radius\right)^2\times\ height$$

$$3080=\frac{1}{3}\times\frac{22}{7}\times\ \left(7\right)^2\times\ height$$

$$3080=\frac{1}{3}\times22\times7\times\ height$$

$$20=\frac{1}{3}\times height$$

height of the cone = $$20\times3$$ = 60 cm

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