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jek_recluse [69]
3 years ago
5

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Mathematics
1 answer:
Lisa [10]3 years ago
5 0
The formula of the volume of a cylinder:

V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base

We have:

V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3

and

H=20\ dm

substitute:

\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2

Answer: The area of a base of the cylinder is equal 45 dm².
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In a pre algebra class containing 40 students, there are 18 freshmen, 19 sophomores, and 3 juniors. What fraction of the class a
dezoksy [38]

\frac{9}{20} of the class consists of freshmen.

Step-by-step explanation:

Given,

Total number of students = 40

Number of freshmen = 18

Number of sophomores = 19

Number of juniors = 3

Fraction of freshmen = \frac{Number\ of\ freshmen}{Total\ number\ of students}

Fraction of freshmen = \frac{18}{40}

Fraction of freshmen = \frac{9}{20}

\frac{9}{20} of the class consists of freshmen.

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3 years ago
A house has increased in value by 37% since it was purchased. If the original value was $720, 000, what is the value after the i
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Answer:$986,4000



Step-by-step explanation:

8 0
2 years ago
− 2/3 (−3 − 9x) A) −2 − 9x <br> B) 2 − 9x <br> C) 2 − 6x <br> D) 2 + 6x
ANEK [815]

Answer:

D 2+6x

Step-by-step explanation:

-2/3(-3-9x)

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8 0
3 years ago
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Coach Taylor wants to know the total practice time if he has the players warm up for 15 min
mrs_skeptik [129]
18 mins it is ! I think your missing the question tho
8 0
3 years ago
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog hou
Luda [366]
The complete question is
<span>Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.
</span><span>If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?

the picture in the attached figure
</span>
we know that

surface area of the figure=surface area of cube+surface area of triangular prism

surface area of cube=4*a²----> 4*2²-----> 16  ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²

surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²

the answer is
23.6 ft²

7 0
3 years ago
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