Question

if curved surface area of cone having height of 12 cm is 204.1 sqcm . find its volume. ​

Answer 1

The volume of the cylinder is 276.98 cm³.

Step-by-step explanation:

The curved surface area of a cylinder is: $CSA=2\pi rh$

Given:

CSA = 204.1 sq. cm

h = 12 cm

Compute the radius as follows:

$CSA=2\pi rh\\204.1=2\times \frac{22}{7}\times r \times 12\\r=2.71$

Compute the volume of the cylinder as follows:

$Volume=\pi r^{2}h=\frac{22}{7}\times 2.71^{2}\times 12=276.98$

Thus, the volume of the cylinder is 276.98 cm³.

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