Question
What is the surface area of the
cone to the nearest tenth? The
figure is not drawn to scale.
RADI 9CM
HEIGHT 21
(1 point)
207.0 cm2
1,442.0 cm2
848.2 cm2
229.5 cm2
cone to the nearest tenth? The
figure is not drawn to scale.
RADI 9CM
HEIGHT 21
(1 point)
207.0 cm2
1,442.0 cm2
848.2 cm2
229.5 cm2
Answers
GPT 3.5
To find the surface area of a cone, we need to calculate the area of the curved surface plus the area of the base.
The formula for the surface area of a cone is SA =πr(r + l), where r is the radius of the base and l is the slant height.
Given that the radius (r) is 9 cm and the slant height (l) can be calculated using the Pythagorean theorem as l = √(r^2 + h^2) = √(9^2 + 21^2) = √(81 + 441) = √522 = 22.82 cm.
Plugging in the values, we get SA = π(9)(9 + 22.82) = π(9)(31.82) ≈ 848.2 cm2.
So, the surface area of the cone to the nearest tenth is 848.2 cm2.
So the correct answer is:
848.2 cm2
The formula for the surface area of a cone is SA =πr(r + l), where r is the radius of the base and l is the slant height.
Given that the radius (r) is 9 cm and the slant height (l) can be calculated using the Pythagorean theorem as l = √(r^2 + h^2) = √(9^2 + 21^2) = √(81 + 441) = √522 = 22.82 cm.
Plugging in the values, we get SA = π(9)(9 + 22.82) = π(9)(31.82) ≈ 848.2 cm2.
So, the surface area of the cone to the nearest tenth is 848.2 cm2.
So the correct answer is:
848.2 cm2