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The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
- a)30 π m2
- b)40 π m2
- c)60 π m2
- d)80 π m2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The slant height of a right circular cone is 10 m and its height is 8 ...
l = 10 m
h = 8 m
∴ Curved surface area = πrl
= (π × 6 × 10) m2 = 60 π m2
h = 8 m
∴ Curved surface area = πrl
= (π × 6 × 10) m2 = 60 π m2
Most Upvoted Answer
The slant height of a right circular cone is 10 m and its height is 8 ...
The slant height of a right circular cone is the hypotenuse of a right triangle formed by the height and the radius of the base.
Using the Pythagorean theorem, we can find the radius of the base of the cone:
(radius)^2 + (height)^2 = (slant height)^2
(radius)^2 + 8^2 = 10^2
(radius)^2 + 64 = 100
(radius)^2 = 100 - 64
(radius)^2 = 36
radius = √36
radius = 6
The curved surface area of a cone is given by the formula:
Curved Surface Area = π * radius * slant height
Substituting the values we found:
Curved Surface Area = π * 6 * 10
Curved Surface Area = 60π
So, the area of the curved surface of the cone is 60π square meters.
Using the Pythagorean theorem, we can find the radius of the base of the cone:
(radius)^2 + (height)^2 = (slant height)^2
(radius)^2 + 8^2 = 10^2
(radius)^2 + 64 = 100
(radius)^2 = 100 - 64
(radius)^2 = 36
radius = √36
radius = 6
The curved surface area of a cone is given by the formula:
Curved Surface Area = π * radius * slant height
Substituting the values we found:
Curved Surface Area = π * 6 * 10
Curved Surface Area = 60π
So, the area of the curved surface of the cone is 60π square meters.
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The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.a)30 π m2b)40 π m2c)60 π m2d)80 π m2Correct answer is option 'C'. Can you explain this answer?
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