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Vsevolod [243]
1 year ago
10

Finally surface area of the solid. use 3.14 for π. write your answer as a decimal.

Mathematics
1 answer:
Sav [38]1 year ago
8 0

To find the total surface area of this cone, we have that the total lateral area is given by the formula:

A_{\text{lateral}}=s\cdot\pi\cdot r

Where

s is the slant height of the cone, s = 12 inches.

r is the radius of the base of the cone, r = 7 inches.

To that area, we need to add the area of the base of the cone:

A_{\text{base}}=\pi\cdot r^2

That is, this is the area of a circle with this radius. Then, the total surface area is:

A_{\text{total}=}s\cdot\pi\cdot r+\pi\cdot r^2

Substituting the values in this formula, we have:

A_{\text{total}}=12in\cdot3.14\cdot7in+\pi\cdot(7in)^2=263.76in^2_{}+153.86in^2

Then

A_{\text{total}}=417.62in^2

Hence, the total area is equal to 417.62 square inches.

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