Question

Find the surface area of the figure below

Answer 1

Explanation:

radius r=16/2=8 in

l=17 in

curved surface=πrl=π×8×17=136 π in²

area of circular base=πr²=π×8²=64 πin²

total surface area=136 π+64 π=200 π in²

Answer 2

Based on the figure shown above, the surface area of this cone is: C. 628.32 square inches.

In Mathematics and Geometry, the surface area of a cone can be calculated by using this formula:

Surface area of cone, SA =
`\pi r(r + √(h^2 + r^2) )` or
`\pi r(r + l )`

Where:

• SA represent the surface area of a cone.
• h represents the height.
• r represents the radius.
• l represents the slant height.

Radius = diameter/2 = 16/2 = 8 in.

By substituting the given parameters into the formula for the surface area of a cone, we have the following:

SA = πr(r + l)

SA = π × 8(8 + 17)

SA = π × 8(25)

SA = 8π × 25

SA = 628.3185 ≈ 628.32 square inches.