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To find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.

User Hackbod
by
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1 Answer

1 vote

Answer:

Slant height = 18 .33 feet.

Explanation:

Given : A cone with a surface area of 500π ft² and a radius of 15 ft.

To find : find the slant height l .

Solution : We have given

Surface area of cone = 500π ft².

Radius = 15 ft.

Surface area of cone = π * radius ( radius + slant height ) .

Plug all the values.

500 π = π * 15 ( 15 + slant height ) .

On dividing both sides by π

500 = 15 ( 15 + slant height ) .

On dividing both sides by 15

33.33 = 15 + slant height .

On subtracting both sides by 15.

33.33 -15 = slant height .

Slant height = 18 .33 feet.

Therefore , Slant height = 18 .33 feet.

User JVene
by
8.3k points