E Question Watch Vid What is the surface area of the cylinder with height 7 in and radius 7 in? Round your answer to the nearest thousa Answer Attempt 1 out of 2 76°F Clear​



Answer :

The surface area of the cylinder is approximately 615.751 square inches.

To find the surface area of a cylinder, you use the formula:

Surface Area = 2πrh + 2πr^2

where:

- π (pi) is approximately 3.14159

- r is the radius of the cylinder

- h is the height of the cylinder

Given that the height (h) is 7 inches and the radius (r) is 7 inches, you can plug these values into the formula:

Surface Area = 2π(7)(7) + 2π(7)^2

Surface Area = 2π(49) + 2π(49)

Surface Area = 98π + 98π

Surface Area = 196π

Now, you can calculate the approximate value by substituting π with approximately 3.14159:

Surface Area ≈ 196 * 3.14159

Surface Area ≈ 615.751 square inches

Rounding to the nearest thousandth, the surface area is approximately 615.751 square inches.

Rounding up its 616 square inches.

Answer:

[tex]616 \: {in}^{2} [/tex]

Step-by-step explanation:

Surface area of a cylinder =

[tex]2\pi {r}^{2} + 2\pi \: rh[/tex]

[tex] = 2\pi \: r(r \: + h)[/tex]

where r = 7 in and h = 7 in and take π = 22/7

[tex] = 2 \times \frac{22}{7} 7(7 + 7) = 2 \times \frac{22}{7} \times 7 \times 14[/tex]

[tex] = \frac{4312}{7} = 616 \: {in}^{2} [/tex]