Find the surface area of a cone with a radius of 3 cm and a slant height of 5 cm

₹0.0

Question: Find the surface area of a cone with a radius of 3 cm and a slant height of 5 cm.

Options:

Correct Answer: 37.68 cm²

Solution:

Surface Area = πr(l + r) = π(3)(5 + 3) = 24π ≈ 75.40 cm².

Find the surface area of a cone with a radius of 3 cm and a slant height of 5 cm.

Find the surface area of a cone with a radius of 3 cm and a slant height of 5 cm.

Step 1: Identify the formula for the surface area of a cone, which is Surface Area = πr(l + r).
Step 2: Identify the values given: the radius (r) is 3 cm and the slant height (l) is 5 cm.
Step 3: Substitute the values into the formula: Surface Area = π(3)(5 + 3).
Step 4: Calculate the expression inside the parentheses: 5 + 3 = 8.
Step 5: Now substitute this back into the formula: Surface Area = π(3)(8).
Step 6: Multiply 3 and 8: 3 * 8 = 24.
Step 7: Now, the formula looks like this: Surface Area = 24π.
Step 8: To find an approximate value, calculate 24 * π (using π ≈ 3.14): 24 * 3.14 ≈ 75.36.
Step 9: Therefore, the surface area of the cone is approximately 75.40 cm².

Surface Area of a Cone – The formula for the surface area of a cone is given by SA = πr(l + r), where r is the radius and l is the slant height.