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jeka94
2 years ago
13

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. A) 9π cm3 B) 21π cm3 C) 42π cm3 D) 63π cm3

Mathematics
2 answers:
Liula [17]2 years ago
5 0
Volume of a cylinder is π * r^2 * h
so 3^2 * 7 * π = 9 * 7π = 63π cm^3

The answer is D. 
Andrew [12]2 years ago
4 0

Answer:

Option (D) is correct.

The volume of given cylinder is 63π cm³

Step-by-step explanation:

Given : a cylinder with a radius of 3 cm and a height of 7 cm.

We have to find the volume of the given cylinder.

Consider the given cylinder with a radius of 3 cm and a height of 7 cm

We know,

Volume of cylinder = \pi r^2h

Where, r is radius

and h is height

Substitute, h = 7 and r = 3

We have,

Volume of cylinder = \pi \cdot (3)^2 \cdot 7

Simplify, we have,

Volume of cylinder = \pi \cdot 9 \cdot 7

Volume of cylinder = 63\pi

Thus, The volume of given cylinder is 63π cm³

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a) (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5)

b)

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c)

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Step-by-step explanation:

Lets call the boards 1,2,3,4 and 5

a) There are {5 \choose 2} = 10 possible outcomes: (1,2), (1,3), (1,4), (1,5), (2,3), (2,4),(2,5),(3,4), (3,5) and (4,5).

b) X is 0 if the selected boards doesnt contain 1 or 2. There are {3 \choose 2} = 3 possibilities for this, in concrete, (3,4), (3,5) and (4,5).

PX(0) = 3/10 = 0.3

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Therefore, X has the following distribution

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PX(2) = 0.1

c) F(0) = 0.3

F(1) = 0.3+0.6 = 0.9

F(2) = 1

We have, as a consequence

  • F(x) = 0 if x<0
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