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Mkey [24]
2 years ago
15

Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r

and h stands for the height of the cylinder. use 3.14 for pu and round your answers to the nearest tenth

Mathematics
1 answer:
lapo4ka [179]2 years ago
3 0

Answer:

The volume of the cylinder  V =  942 cm³      

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

                              d = 2r

                             r = \frac{10}{2}

                             r = 5 cm

<u><em>Step(ii):-</em></u>

The Volume of the cylinder

     V = π r² h

     V = π (5)²(12)

     V = 300π cubic centimeter

     V = 300 × 3.14

    V = 942 cm³

<u><em>Final answer:-</em></u>

Volume of the cylinder  V =  942 cm³

     

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure &amp; the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
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Step-by-step explanation:

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Answer:

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Explanation:

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4 0
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morpeh [17]

Answer:

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Step-by-step explanation:

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7 0
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Answer:

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