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Find the surface area of the cylinder.

PLS HELP I TRIED DOING IT MYSELF BUT I CANT DO IT PLEASE PLEASE HELP IM BEGGING THIS IS TOO CONFUSING FOR ME!!!

I think the answer should be in a decimal according to an example problem but I’m not sure btw.

Find the surface area of the cylinder. PLS HELP I TRIED DOING IT MYSELF BUT I CANT-example-1
User Araks
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Answer:

Explanation:

To find the surface area of a cylinder, we need to add the area of the circular bases to the lateral area (the curved surface).

The diameter of the cylinder is 9 inches, so the radius (r) is half of that, or 4.5 inches.

The height of the cylinder (h) is given as 15 inches.

The area of each circular base is πr^2. Therefore, the area of both bases is 2πr^2.

The lateral area of the cylinder is given by the formula 2πrh.

Substituting the values we have:

Area of both bases = 2πr^2 = 2π(4.5)^2 = 2π(20.25) = 40.5π

Lateral area = 2πrh = 2π(4.5)(15) = 135π

Total surface area = area of both bases + lateral area = 40.5π + 135π = 175.5π

Approximating π to 3.14, we get:

Total surface area = 175.5π ≈ 175.5(3.14) ≈ 551.07

Therefore, the surface area of the cylinder is approximately 551.07 square inches.

User Sachin Dubey
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