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mash [69]
3 years ago
6

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Then, find the volume of the cylinder if the radius i

s increased to 10 cm. Leave your answers in term of pi.

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0
Well pi times radius squared so 25* 3.14=78.5 * height so 78.5*10=785 is the answer for the first one so for the second take pi times radius squared so 100*3.14=314*10 = 3,140
1st answer 785cm squared
2nd answer 3,140cm squared
kap26 [50]3 years ago
3 0

Answer:

250π

1000π

Step-by-step explanation:

(refer to attached)

volume of cylinder is given by:

V = π r²h,

where r = radius of base and h = height of cylinder

Given r = 5 and h = 10, hence

V = π r²h

V = π (5)²(10)

V = π (25) (10)

V = 250π  (answer)

For the second case, r = 10 cm

V = π r²h

V = π (10)²(10)

V = π (100) (10)

V = 1000π  (answer)

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The Solution.

The given equation is

\begin{gathered} y=|x|+7 \\ \text{Where x=11} \end{gathered}

Substituting 11 for x, we can get the value of y.

\begin{gathered} y=|11|+7 \\ y=11+7 \\ y=18 \end{gathered}

Hence, the value of y is 18.

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X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
cluponka [151]

Answer:

x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

Step-by-step explanation:

I'm assuming the system is \left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.:

x^2+y^2=2

x^2+(2x^2-3)^2=2

x^2+(4x^4-12x^2+9)=2

x^2+4x^4-12x^2+9=2

4x^4-11x^2+9=2

4x^4-11x^2+7=0

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(4x^2-7)(x^2-1)=0

4x^2-7=0

4x^2=7

x^2=\frac{7}{4}

x=\pm\sqrt{\frac{7}{4}}

x^2-1=0

x^2=1

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y=2x^2-3

y=2(\pm\sqrt{\frac{7}{4}})^2-3

y=2({\frac{7}{4}})-3

y=\frac{7}{2}-3

y=\frac{1}{2}

y=2x^2-3

y=2(\pm1)^2-3

y=2(1)-3

y=2-3

y=-1

Therefore, x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}} and y=-1,\frac{1}{2}

The ordered pair solutions are (-\sqrt{\frac{7}{4}},0.5), (\sqrt{\frac{7}{4}},0.5), (-1,-1), and (1,-1).

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