i need help with volume?

Question

tory dicovered that the valve on her cement truck failed during the night and that all the contents ran out to form a giant cone of hardened cement. to make an insurance claim, she needs to figure out how much cement is in the cone. the circumference of its base is 44 feet, and it is 5 feet high. so what is the volume to the nearest cubic foot?

Answer 1

Volume of a cone formula

v = 1/3 π r² h

v = 1/3 (3.141592654(7.002817496)²(5)

v = 1/3(3.141592654)(49.033945288)(5)

v = 1/3(154.0619849(5)

v = 1/3(770.3099346

v = 256.7699749 cubic feet

v = 257 cubic feet rounded up

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Answer 2

If the circumference is 44 feet, the radius is 7 feet, and the volume of the cone is 7 x 7 x 5 x pi/3.

Answer 3

Step by step solution:

Volume of a cone is:
1/3 (pi r²) x h or 1/3 area of base x perp. height

You know the circumference of the base which is 44 ft.
You know the height which is 5 ft.

C = pi x d or 2 pi r - lets use 2 pi r
44 = 2 (3.14 ) r
44 = (6.28)r
r = 44 / 6.28
r = 7.006

V = 1/3 area of base x perp. height
V = 1/3 x (pi x r x r) x 5
V = 1/3 x (3.14 x 49.08) x 5
V = 1/3 x 154.111 x 5
V = 51.32 x 5
V = 256.6
Therefore, the volume of cement to the nearest cubic foot is 257 (256.6)

Answer 4

1/3*base area * height

have to find radius to solve
circumference = 44 = 2 * pi * r, so r = 44/(2*pi) = 7 feet

base area = pi*radius * radius = 153.93 square feet.

cone volume = 1/3 * 153.93* 5 = 256.56 cubic feet, or 257 cubic feet to the nearest foot.

Answer 5

Volume = ⅓π x r² x h
44ft circumference = 44 ÷ π = 44 ÷ 3.142 = 14ft diameter. = 7ft radius.
0.333 x 3.142 x 7 x 7 x 5 = 256 ft³

Answer 6

circumference of base = 2*pi*r = 44 feet
r=44/(2*pi)
volume = (1/3)pi*r^2*h = (22*7*5)/3
= 256.67 feet

Answer 7

1/3 the volume of the equivalent cylinder.




Circumference / Pi = diameter.

half the diameter is the radius.

the radius squared times pi = the area of the base

volume of cylinder is base times height.

Area of cone = 1/3 the volume of the cylinder.

ta ta!

Answer 8

v= base area X perpendicular height / 3 and that should give you the volume of the cement pile.