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fredd [130]
3 years ago
13

A cylinder has a base diameter of 16in and a height of 5in. What is its volume in cubic

Mathematics
2 answers:
Scrat [10]3 years ago
6 0

Answer:

  • 1004.8 in³

Step-by-step explanation:

d = 2r => r = d/2 = 16in/2 = 8 inches

V = Ab×h

= π·r²×h

= 3.14·(8in)²×5in

= 1004.8 in³

kompoz [17]3 years ago
3 0

Answer:

1005.31 cm^{3}

Step-by-step Explanation:

=>Given:

d = 16in (\frac{16}{2} = 8)

h = 5in

π = 3.14

Volume of cylinder = πr²h

=> Required:

Volume of Cylinder

Solution:

V = 3.14*8^{2}*5

V = 1005.31 cm^{3}

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520

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= 650 - (97.50 + 97.50/3)

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4 years ago
A person draws a card from a hat. Each card is one color with the following probabilities of being drawn: 1/10 for red, 1/5 for
Kay [80]

Answer:

\dfrac{1}{4}

Step-by-step explanation:

We are given that a card is drawn from a hat.

Probability that a red card is drawn, P(red) = \frac{1}{10}

Probability that a blue card is drawn, P(blue) = \frac{1}{5}

Probability that a black card is drawn, P(black) = \frac{1}{20}

Probability that a pink card is drawn, P(pink) = \frac{1}{5}

All these events are mutually exclusive i.e. they do not have anything in common.

For any two events A and B which are mutually exclusive, with probability P(A) and P(B), the probability that any one of the two events occur:

P(A\cup B) = P(A) + P(B)

Here event A can be thought of as drawing a blue card and

event B can be thought of as drawing a black card

So, P(blue or black) = P(blue) + P(black)

\Rightarrow \dfrac{1}{5}+\dfrac{1}{20}\\\Rightarrow \dfrac{4+1}{20}\\\Rightarrow \dfrac{5}{20}\\\Rightarrow \dfrac{1}{4}

So, the probability that a blue or black card is drawn from the hat:

\dfrac{1}{4}

8 0
3 years ago
Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati
Alex787 [66]

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

where

s is the length side of the square

we have

s=2\ ft

substitute

A=2^{2}\\A=4\ ft^{2}

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

A=LW

we have

L=16\ ft\\W=8\ ft

substitute

A=(16)(8)\\A=128\ ft^2

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

128\ ft^2/4\ ft^{2}=32\ pavers

3 0
4 years ago
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