Question

What’s the surface area of this cone?

Answer 1

SA (to the nearest yd.) = 136 yd.^2

SA (to the nearest tenth) = 135.7 yd.^2

SA (to the nearest hundredth) = 135.72 yd.^2

SA (to the nearest thousandth) = 135.717 yd.^2

Explanation:

• The photo you provided is cropped in a way which prevents us from seeing how much your question wants us to round our answer.

• Therefore, so I'll provide the answer rounded to the nearest yd. (whole number), the nearest tenth, the nearest hundredth, and the nearest thousandth.

• Use the answer depending on what the question tells you to round to.

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• The figure is a cone.

The formula for the surface area of a cone is given by:

SA = πr^2 + πrl, where

• SA is the surface area in units squared,
• r is the radius,
• and l is the slant height.

Since the radius is 3 yd. and the slant height is 11.4 yd., we can substitute 3 for r and 11.4 for l in the surface area formula to find SA, the surface area of the cone in yd.^2:

SA = π(3)^2 + π(3)(11.4)

SA = 9π + 34.2π

SA = 43.2π

SA = 135.7168026

Now we can start rounding:

SA (to the nearest yd.) = 136 yd.^2

SA (to the nearest tenth) = 135.7 yd.^2

SA (to the nearest hundredth) = 135.72 yd.^2

SA (to the nearest thousandth) = 135.717 yd.^2