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2 years ago

What is the volume of the cylinder if the height is 2x+7 and the radius is x-3

Mathematics

1 answer:

shusha [124]2 years ago

5 0

Answer:

Therefore the volume of the cylinder $=\pi(2x^3-5x^2-24x+63)$ cubic units

Step-by-step explanation:

Given height of a cylinder is (h) =2x+7

and radius (r)= x-3

Volume of the cylinder = $\pi r^2 h$

$=\pi (x-3)^2(2x+7)$

$=\pi (x^2-6x+9)(2x+7)$

$=\pi (2x^3-12x^2+18x+7x^2-42x+63)$

$=\pi(2x^3-5x^2-24x+63)$ cubic units

Therefore the volume of the cylinder $=\pi(2x^3-5x^2-24x+63)$ cubic units

You might be interested in

The sum of three consecutive integers is 267. What is the largest integer?

sdas [7]

Let the integers be x + (x+1) + (x + 2)

x + (x+1) + (x + 2) = 267 

3x + 3 = 267 
3x = 264 
x = 88 

88+89+90=267 

Largest integer=90 

Another method 

267/3 = 89 

It's the average,so it has to be the middle one. 

Thus 89, then I took 89 - 1 = 88 and 89 + 1 = 90 and just put them in order. 

88+89+90=267 

Largest integer=90

7 0

2 years ago

Mary need 3 pounds

zheka24 [161]

Answer:

She needs 19 oz

Step-by-step explanation:

There are 16 oz in a pound. 16 x 3= 48

48-29= 19

Hope this helped :)

7 0

2 years ago

Read 2 more answers

A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting

Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees} = \frac{6}{15}$

b.) The probability that a secretary wins a ticket on second draw. It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant wins on first draw)

= $\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}$

= $\frac{\frac{5}{15} \times \frac{6}{14}}{\frac{5}{15} } = \frac{6}{14}$ .

The probability that a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw = $\frac{6}{15}$ is not true.

The probability that a secretary wins on the second draw = $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secretaries \hspace{0.1cm} remaining } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} remaining} = \frac{6 - 1}{15 - 1} = \frac{5}{14}$

c.) The probability that a consultant wins on the first draw =

$\frac{number \hspace{0.1cm} of \hspace{0.1cm} consultants \hspace{0.1cm} } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} } = \frac{5 }{15} = \frac{1}{3}$

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= $\frac{6}{15} \times \frac{5}{14} = \frac{1}{7}$

Therefore the only statement that is not true is b.)

5 0

3 years ago

66) A farmhouse shelters 13 animals. Some are cows and some are chickens. Altogether there are 38

yuradex [85]

Answer:

9 cows and 1 chicken ( plz help me)

Step-by-step explanation:

6 0

2 years ago

15) Solve for X X\42=6 A) 7 B) 252 C) 260 D) 332

Vikentia [17]

Answer:

b)252 is the answer

Step-by-step explanation:

x\42=6

x=6*42

x=252

5 0

1 year ago