What is the surface area of a cone that has a radius of 5 units and a height of 10 units? use 3.14 for π and round your answer to the nearest whole number. 254 units2 300 units2 314 units2 384 units2

254 units^2

Step-by-step explanation:

The formula for calculating the surface area of a cone is curved surface area plus circular base area.

surface area = πrl + πr² where r is the radius of the circular base f the cone and l is the slant height. but we have height instead so we need to use Pythagoras theorem to compute the slant height;

l² = r² + h² = 5² + 10²

l² = 25 + 100 = 125 take square root of both sides

√l² = √125 = 11.18

surface area = πr ( r+l) = 3.142 ×5 (5 + 11.18) = 254 units²

254 sq. units

Step-by-step explanation:

Surface area of a cone =

where '' = height

'' = radius of the cone and

'' =

A =

Given: Height = 10 units

Radius = 5 units

We first calculate ''.

sq. units.

Rounding off to the nearest whole number we get A = 254 sq. units.

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step-by-step explanation: