Question : The volume of a right circular cone is 3080 cm³. If the radius of its base is 7 cm, then what is the height of the cone? $\left[\right.$ Use $\left.\pi=\frac{22}{7}\right]$
Option 1: 60 cm
Option 2: 80 cm
Option 3: 120 cm
Option 4: 90 cm
Correct Answer: 60 cm
Solution :
The radius of its base of the cone, $r$ = 7 cm
Let $h$ be the height of the cone.
The volume of the right circular cone = $\frac{1}{3} \pi r^2 h$
⇒ $\frac{1}{3} \pi r^2 h = 3080$
⇒ $\frac{1}{3}× \frac{22}{7}× 7^2 ×h = 3080$
⇒ $h = \frac{3080×7×3}{22×7×7} = 60$
Hence, the correct answer is 60 cm.
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