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

1. What is the area of a circle with a diameter of 3.4 cm? Round your answer to the nearest tenth. (use 3.14 for pi)

Brilliant_brown [7]

1. The area of a circle is
$a = \pi {r}^{2}$
$\pi = 3.14 \\ r = \frac{3.4}{2} = 1.7$
$a = (3.14) {(1.7)}^{2} \\ = 9.0746$
The area is 9.07 cm^2.

2. The volume of a cube is
$v = {s}^{3}$
$s = 4.5$
$v = {(4.5)}^{3} \\ = 91.125$
The volume is 91.125 m^3

7 0

3 years ago

How many 1 inch cubes do you need to create a cube with an edge length of 6 inches?

galben [10]

216 cubes. For the base, you would need 6 x 6 cubes which is 36. Since it is a cube, the height is also 6 so you multiply 36 by 6, which is 216.

6 0

3 years ago

A bag contains tiles. 3 tiles of red, 6 tiles of green, 3 tiles are blue. A tile will be randomly selected from the bag. What is

ruslelena [56]

Answer:

The probability is 0.5 tiles will be green

Step-by-step explanation: