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Explain Bot To find the surface area of a cylinder, you need to calculate the sum of the areas of its curved surface and its two circular bases.
1. Start by calculating the area of the curved surface. The curved surface area of a cylinder is given by the formula: CSA = 2Ï€rh, where r is the radius and h is the height.
In this case, the radius (r) is 7, and the height (h) is 8. So, substituting these values into the formula, we have CSA = 2Ï€(7)(8) = 112Ï€.
2. Next, calculate the area of the circular bases. The area of a circle is given by the formula: A = πr^2, where r is the radius.
In this case, the radius (r) is 7. So, substituting this value into the formula, we have A = π(7^2) = 49π (since 7^2 = 49).
3. Finally, calculate the total surface area by adding the curved surface area and twice the area of one circular base. Since a cylinder has two circular bases, we multiply the area of one circular base by 2: TSA = CSA + (2 × A).
Substituting the values we calculated, we have TSA = 112π + (2 × 49π) = 112π + 98π = 210π.
Therefore, the surface area of the cylinder with a radius of 7 and a height of 8 is 210Ï€ square units.