Question

what is the surface area of cone with a diameter of 10 centimeters and a slant height of 12 centimeters round your answer to the nearest whole number (use 3.14 as an approximate for pi)

Answer 1

The surface area of the cone is $266.9cm^2$

Explanation:

The diameter of the cone is 10 cms

Thus, the radius of the cone is given by

$r=\frac{d}{2} =\frac{10}{2} =5$

The slant height of the cone is 12 cms

The formula for surface area of the cone is given by

$S A=\pi r^{2}+\pi r l$

Substituting the values, we get,

$S A=(3.14)(5)^{2}+(3.14)(5)(12)$

$S A=(3.14)25+(3.14)(60)$

$SA=78.5+188.4$

$SA=266.9cm^2$

Thus, The surface area of the cone is $266.9cm^2$