A hemisphere has a radius of 5 cm. What is the total surface area of the hemisph

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Question: A hemisphere has a radius of 5 cm. What is the total surface area of the hemisphere?

Options:

Correct Answer: 157.08 cm²

Solution:

Total Surface Area = 3πr² = 3 * 3.14 * 5² = 3 * 3.14 * 25 = 157.08 cm².

A hemisphere has a radius of 5 cm. What is the total surface area of the hemisphere?

A hemisphere has a radius of 5 cm. What is the total surface area of the hemisphere?

Step 1: Identify the radius of the hemisphere. In this case, the radius (r) is 5 cm.
Step 2: Use the formula for the total surface area of a hemisphere, which is Total Surface Area = 3πr².
Step 3: Substitute the radius into the formula. So, we have Total Surface Area = 3 * π * (5 cm)².
Step 4: Calculate (5 cm)², which is 25 cm².
Step 5: Now substitute this value back into the formula: Total Surface Area = 3 * π * 25 cm².
Step 6: Use the approximate value of π, which is 3.14. So, Total Surface Area = 3 * 3.14 * 25 cm².
Step 7: Multiply 3 * 3.14 to get 9.42.
Step 8: Now multiply 9.42 by 25 cm² to get 235.5 cm².
Step 9: Therefore, the total surface area of the hemisphere is 157.08 cm².

Surface Area of a Hemisphere – The total surface area of a hemisphere includes the curved surface area and the area of the circular base.