3 years ago

14. Find the height of a cylinder if the surface area is 408.41 square inches and the radius is 5

Mathematics

1 answer:

weeeeeb [17]3 years ago

8 0

Answer:

Height is 8.0in

Step-by-step explanation:

Surface Area of a cylinder = 2πr(r+h)

r is the radius

h is the height of the cylinder

Given surface area = 408.41in²

radius = 5in

h = ?

Substituting the given value into the formula

408.41 = 2π(5)(5+h)

408.41 = 50π + 10πh

408.41 = 50(3.14)+10(3.14)h

408.41 = 157+31.4h

408.41-157 = 31.4h

251.41 = 31.4h

h = 251.41/31.4

h = 8.0in

You might be interested in

2. Cameron worked 8 hours at the coffee shop. He earned the same amount in tips and wages each hour. At the end of his shift, Ca

Elden [556K]

Answer:

$\$12$

Step-by-step explanation:

Let money earned in tips every hour is $x$

Money earned in wages every hour is $y$

Number of hours in the shift is 8

Money earned in 8 hours in tips is $32

$8x=32\\\Rightarrow x=\dfrac{32}{8}\\\Rightarrow x=4$

Money earned in 8 hours in wages is $64

$8y=64\\\Rightarrow y=\dfrac{64}{8}\\\Rightarrow y=8$

Money earned each hour is $x+y=4+8=\$12$ .

3 0

2 years ago

What is the prime factorazation of 50

Aleonysh [2.5K]

Answer:

Prime factorization of 50 is 2 x 5 x 5 or 2 x 5^2

Step-by-step explanation:

6 0

3 years ago

Find the slope of the line. (0, 0) and (1/3, 7/3)

Alla [95]

Answer:

slope is y=7x

Step-by-step explanation:

0-1/3 over 0-7/3

4 0

2 years ago

Read 2 more answers

The graph shows the rate of home ownership by age. What age group shows the MOST consistent home ownership rate from 2000 to 201

Masteriza [31]

Answer:d

Step-by-step explanation:

got it

5 0

3 years ago

Read 2 more answers

Generate an equivalent algebraic expression by combining like terms.<br><br> 2x-6y+2x^2-21-4y+4x-x^2

Vlad1618 [11]

I’m pretty sure it’s

6x-10y+x^2-21

Unless I read it wrong then sorry

3 0

2 years ago