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Anuta_ua [19.1K]
2 years ago
12

a cylinder and a cone have the same radius and height. The volume of the cylinder is 534ft3 . what volume of the cone?

Mathematics
1 answer:
DochEvi [55]2 years ago
5 0

Answer: 178 ft^3

Step-by-step explanation:

A cylinder has the formula V=pi radius ^2 height

A cone has the formula V= 1/3 pi radius ^2 height

So 1/3 of the volume of the cylinder is the volume of a cone

1/3 of 534 = 178 ft^3

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What expressions is equivalent to 4b
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4 times b is the answer
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3 years ago
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What are three ratios equal to 4 over 28 .simplify if needed?
SVETLANKA909090 [29]
4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.

You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.

For example:
1/7 = 7/49
or
4/28 = 8/56

6 0
3 years ago
The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 24
Licemer1 [7]

Answer:

390 ft²

Step-by-step explanation:

The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft² What is the area of the larger trapezoid?

We solve the above question using proportion

(Longer base/Area of trapezoid) smaller trapezoid = (Longer base/Area of trapezoid) bigger trapezoid

Let the the Area of the bigger trapezoid = x

Hence,

= 8ft/240ft = 13ft/x ft

Cross Multiply

8ft × x = 240ft × 13ft

x = 240ft² × 12 ft/8 ft

x = 390 ft²

3 0
3 years ago
HELP ME PLEASE HELP ME HELP ME PLEASE
riadik2000 [5.3K]

Answer:

<h2>     no, because the remainder is 126</h2>

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126

4 0
3 years ago
PLEASE HELP ME PLEASE
Licemer1 [7]

Answer:

x

Step-by-step explanation:

f(x) = (x-1)/3

g(x) = 3x+1

f(x) °g(x) =

Substitute g(x) in for x in the function f(x)

f(x) °g(x) = (g(x) -1)/3

             = (3x+1 -1)/3

             = 3x /3

             =x

8 0
3 years ago
Read 2 more answers
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