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3 years ago

Please help. 20 points. Show all work. Thank you.

Mathematics

1 answer:

Bogdan [553]3 years ago

5 0

The lateral area of a cone is the surface area (aka area of the sides of the object) minus the area of the base of the cone.

The equation for the lateral area of a cone is: $lateral \: area = \pi rl$
where r = radius and l = slant height.

Since you know that the lateral area = $500 \pi \: cm^{2}$ and the radius, r = 50 cm, you can plug those values into the equation for the lateral area and solve for l, the slant height:
$lateral \: area = \pi rl\\
500 \pi = \pi (50)(l)\\
500 = 50l\\
l = 10$

The slant height of the cone is A) 10cm.

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