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Mrac [35]
2 years ago
7

The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder

?
A) 60π cm³

B) 50π cm³

C) 27π cm³

D) 36π cm³
Mathematics
2 answers:
Alik [6]2 years ago
8 0

Answer:

The correct option is option (A)

The volume of the metallic rod is 60π cm³.

Step-by-step explanation:

Cylinder:

  • It is three dimension shape.
  • The lateral surface area is 2πrh, r= radius, h= height
  • Total surface area = 2πrh+2πr²,
  • Volume = πr²h.

The radius of the base of metallic rod is 2 cm and its height is 15 cm.

Here r= 2 cm, h= 15 cm, \pi =\frac{22}7

The volume of metallic rod is

=πr²h

=π(2 cm)² (15 cm)

=π(4)(15) cm³

=60π cm³

snow_tiger [21]2 years ago
3 0

Answer:

A) 60π cm³

Step-by-step explanation:

Given:

The<u> radius </u>of the base of a metallic rod is<u> 2 centimetres</u>, and its<u> height is 15 centimetres.</u>

Question asked:

What is the<u> volume </u>of this cylinder?

<u>Solution</u>:

As we know''

Volume\ of\ cylinder=\pi r^{2} h

                                =\pi \times2\times2\times15\\ \\ =60\pi

Therefore, the volume of this cylinder will be 60\pi\ cm^{3}

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A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.
fenix001 [56]

Answer:

1/32

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Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T)  = 1/2

For a coin tossed 5 times,

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= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15  = 15/32

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Answer:

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Step-by-step explanation:

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Then

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Step-by-step explanation:

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irina [24]

Answer:

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Step-by-step explanation:

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