The volume of a cone is 245 cm³ and its radius is 7 cm. Find the height of the cone.

Mathematics
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Mathematics

The volume of a cone is 245 cm³ and its radius is 7 cm. Find the height of the cone.

Explanation

To find the height of a cone, use the volume formula V= 3 1 ​ πr 2 h. Rearrange the formula to make h the subject, then substitute the given volume (245 cm³) and radius (7 cm). After simplifying the equation, the height is approximately 4.77 cm.

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