The volume of the cone is one-third of the product of its base area and its height. The volume of the cone is 2,700π units³.
What is the volume of a cone?
The volume of the cone is one-third of the product of its base area and its height. It is given by the formula,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \times (\pi r^2) \times h[/tex]
Given the radius of the circular base is 10 units and the height of the cone is 81.
[tex]\text{Volume of the cone}= \dfrac{1}{3} \times (\pi r^2) \times h[/tex]
[tex]\text{Volume of the cone}= \dfrac{1}{3} \times (\pi \times 10^) \times 81\\\\\text{Volume of the cone}= 2,700 \pi \rm\ units^3[/tex]
Hence, the volume of the cone is 2,700π units³.
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