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7nadin3 [17]
3 years ago
11

A cylindrial hole is cut through the cylinder below.

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

V= \pi r^2h

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

V=V_1-V_2

V=\pi r_1^2 \times h-\pi r_2^2 \times h

V=\pi \times h \times (r_1^2-r_2^2)

Where

V_1 is the the volume of solid cylinder with radius r_1 and height h

V_2 is the volume of the cylinder being carved out with radius r_2 and height h

where

r_1 = 7 mm ( Half of the bigger diameter )

r_2 = 5 mm ( Half of the inner diameter )

h=25 mm

Putting these values in the formula for V we get

V=\pi \times 25\times (7^2-5^2)

V=3.14 \times 25 \times(49-25)

V=3.14 \times 25 \times 24

V= 1884

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nydimaria [60]

Answer:

V = 15 pi m^3

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is 3 and the height is 5

V = 1/3 pi ( 3)^2 *5

V = 15 pi m^3

6 0
3 years ago
Jace's average gross pay is $1,630.00 bi-weekly. Determine how many years it will take Jace to earn his first million dollars.
vesna_86 [32]

The number of years it will take to earn his first million is 24 years

Average bi-weekly gross pay = $1,630

Bi-weekly = 2 weeks

Number of 2 weeks(bi-weeks) in a year = 26 bi-weeks

The least million he can earn is $1,000,000

Let the number of years = n

We could use the equation :

Least million = gross pay × (Number of bi-weeks × number of years)

1000000 = 1630 × (26n)

1000000 = 42380

Divide both sides by 34230

1000000 / 42380 = n

n = 23.59

The least number of years is 24.

Learn more : brainly.com/question/18796573

6 0
3 years ago
What is 2 times 4 by the power of 10
goblinko [34]

Answer: 1073741824 because 2x4 is 8 and 8 to the power of 10 is 1073741824

4 0
3 years ago
Read 2 more answers
Jake has two pet guinea pigs named fluffy and scruffy. Fluffy is8 1/8 inches long. Scruffy is 10 1/4 inches long. How much longe
miss Akunina [59]

Answer:

Scruffy is 2\frac{1}{8} inches longer than Fluffy.

Step-by-step explanation:

Length of Scruffy = 10\frac{1}{4} inches

Length of Fluffy = 8\frac{1}{8} inches

We have to calculate how much Scruffy is longer than Fluffy.

Difference of their lengths = 10\frac{1}{4}-8\frac{1}{8}

                                            = (10 - 8) + (\frac{1}{4}-\frac{1}{8})

                                            = 2 + (\frac{2-1}{8})

                                            = 2 + \frac{1}{8}

                                            = 2\frac{1}{8} inches

Therefore, Scruffy is 2\frac{1}{8} inches longer than Fluffy.

5 0
3 years ago
Which shows the expression 3n + 2n
Mashcka [7]

Answer:

3n+2n=5n

Step-by-step explanation:

2+3=5:):):):)

3 0
3 years ago
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