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]