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chubhunter [2.5K]
3 years ago
6

What is the volume of a cone with a diameter of 30 feet and a height of 60 feet? Use 3.14 for π.

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

14130 ft^3

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)*pi*r^2*h.

Here, V = (1/3)(3.14)(15 ft)^2*(60 ft) = 20*3.14*225 ft^3 = 14130 ft^3


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Problem 5

d = 29 = diameter

r = d/2 = 29/2 = 14.5 = radius

SA = surface area of sphere

SA = 4*pi*r^2

SA = 4*pi*(14.5)^2

SA = 841pi

SA = 841*3.14

SA = 2,640.74 square inches

To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.

2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft

<h3>Answer: 18.3 square feet (approximate)</h3>

=====================================

Problem 6

d = 10.7 = diameter

r = d/2 = 10.7/2 = 5.35 = radius

L = 22.3 = slant height

SA = surface area of the cone

SA = pi*r^2 + pi*r*L

SA = pi*(5.35)^2 + pi*5.35*22.3

SA = 147.9275pi

SA = 147.9275*3.14

SA = 464.49235

<h3>Answer:  464.49235 square cm (approximate)</h3>
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