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Levart [38]
3 years ago
9

Given that the heights and the volumes of the two solids are equivalent, find the diameter of the cylinder. Round your answer to

the nearest hundredth.
A. 2.13
B. 2.31
C. 4.17
D. 4.27

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0
We use the definition of the volumes of each figure in order to calculate the diameter of the cylinder. We calculate as follows:

V(cylinder) = V(rectangular prism)
πr²h = lwh

from the given, height of the cylinder = height of the prism

πr² = lw
πr² = 5.3(2.7)
r = 2.13

D=2r = 4.27 mm
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Which statement best compares the volumes of the two rectangular prisms?
Dmitry [639]

Answer:

There is not enough information to compare the volume of the prisms.

Step-by-step explanation:

To find the volume of rectangular prisms, the length , width and height must be given. The volume of rectangular prisms is gotten by multiplying the three dimension: length, width and height which is expressed in cubic units. To compare the two volumes, the three dimensions must be given.

Hence, there is not enough information to compare.

3 0
3 years ago
Una escalera se apoya en una pared con un ángulo de 40º. Si se apoyase con un ángulo de 55º, se conseguiría una altura 35 cm may
sdas [7]

Answer: L ≈ 2.0 m

Step-by-step explanation:

Lsin40 = h

Lsin55 = h + 0.35

Lsin55 = Lsin40 + 0.35

Lsin55 - Lsin40 = 0.35

L(sin55 - sin40) = 0.35

L = 0.35 / (sin55 - sin40)

L = 1.98452 ≈ 2.0 m

3 0
2 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Paul [167]

Answer:

Step-by-step explanation:

Triangle WXY is a right angle triangle.

From the given right angle triangle

WY represents the hypotenuse of the right angle triangle.

With ∠W as the reference angle,

WX represents the adjacent side of the right angle triangle.

XY represents the opposite side of the right angle triangle.

To determine WY, we would apply the Sine trigonometric ratio

Sin θ = opposite side/hypotenuse. Therefore,

Sin 36 = 5/WY

WY = 5/Sin36 = 5/0.5878

WY = 8.5 to the nearest tenth

3 0
3 years ago
Harvey decided to make chocolate pudding pies for a celebration. He had to make 4 pies. Each pie needed 2 quarts of milk. How ma
Blababa [14]

Answer:

He will need 16 pints.

Step-by-step explanation:

2 pints per quart

2 quarts = 4 pints

4 x number of pies (4)

16

3 0
2 years ago
Read 2 more answers
2.) Use the Slope Intercept Form of a line to find the equation of the line from point C to point D.
mezya [45]

First we need slope

  • C=(0,0)
  • D(7,12)

\\ \sf\longmapsto m=\dfrac{12-0}{7-0}

\\ \sf\longmapsto m=\dfrac{12}{7}

Put D co-ordinates on y=mx+b

\\ \sf\longmapsto 12=\dfrac{12}{7}(7)+b

\\ \sf\longmapsto 12=12+b

\\ \sf\longmapsto b=12-12

\\ \sf\longmapsto b=0

Now

slope intercept form.

\\ \sf\longmapsto y=\dfrac{12}{7}x

  • As b=0
8 0
2 years ago
Read 2 more answers
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