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Rashid [163]
3 years ago
10

The circumference of the base of a cone is 24pi inches. The slant height of the cone is 20 inches what is the surface area of th

e cone express the answer in terms of pi
Mathematics
2 answers:
lana66690 [7]3 years ago
5 0

Answer:

384

Step-by-step explanation:

dmitriy555 [2]3 years ago
4 0

Answer:

The surface area without the base is 753.6 square inches

The surface area with the base is 1,205.75 square inches

Step-by-step explanation:

The lateral surface area of a right cone using the slant height is \pi r l where r is the radius and l is the slant height. We know the slant height is 20 inches. To find the radius, use the circumference given and solve for r.

C = 2\pi r\\\\24\pi = 2\pi r\\\\\frac{24\pi}{2\pi} = r \\12=r

Now find the lateral surface area \pi (20)(12) = 753.6

This is the surface area without the base. Add the lateral surface area to the area of the base A=\pi r^2\\A =\pi (12)^2\\A = 452.16

The total surface area is 452.16 + 753.6 = 1, 205.76

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Answer:

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Step-by-step explanation:

(9,+9)0-2  =  0 - 2

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6 0
3 years ago
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8 0
3 years ago
The base of a triangular prism is an isosceles right triangle with a hypotenuse of 32−−√ centimeters. The height of the prism is
Roman55 [17]
Isosceles triangle: two equal sides.
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 root (32) = root (L ^ 2 + L ^ 2)
 root (32) = root (2L ^ 2)
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 Area of the base and top:
 A1 = (1/2) * (root (32) / root (2)) * (root (32) / root (2))
 A1 = (1/2) * (32/2)
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 A2 = (root (32) / root (2)) * (6)
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 Rectangle area of different side:
 A3 = (root (32)) * (6)
 A3 = 33.9411255
 The area is:
 A = 2 * A1 + 2 * A2 + A3
 A = 2 * (8) + 2 * (24) + (33.9411255)
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 Round to the nearest tenth:
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A = 97.9 cm
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