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3 years ago

The base of a cylinder has an area of 64π in2. If the height of the cylinder is 10 in., what is the total volume?

Mathematics

2 answers:

Stells [14]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The volume (V) of a cylinder is

V = area of base × height

here area of base = 64π and height = 10, hence

V = 64π × 10 = 640π in³ ← exact value

Anastasy [175]3 years ago

3 0

Answer:

V = 3217.0 m3

Step-by-step explanation:

The base area is given and the height is equal to twice the radius.

Use the formula for the area of a circle to solve for the radius of the cylinder.

A=πr2

Substitute 64π for A.

64π=πr2

Divide both sides by π.

64=r2

Take the positive square root of both sides.

8=r

Therefore, the radius is equal to 8 m.

The height is equal to twice the radius.

h=2r

Substitute 8 for r.

h=2⋅8

Simplify.

h=16

Therefore, the height is equal to 16 m.

To find the volume of the cylinder, use the formula for the volume of a cylinder, V=πr2h.

Substitute 8 for r and 16 for h.

V=π⋅82⋅16

Simplify.

V=1024π

Use a calculator to approximate.

V≈3217.0 m3

Therefore, the volume of the cylinder is approximately 3217.0 m3.

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MrRa [10]

Answer:

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Step-by-step explanation:

they're asking you to use distributive property

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3 years ago

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Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces

denis-greek [22]

The total weight of Mason is 177

Solution:

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

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$\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177$

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3 years ago

Question 17(Multiple Choice Worth 1 points)

Marina86 [1]

Answer:A fine of $0.75 is paid if the book returned by the due date.

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A fine of $0.75 is paid if the book is returned 1 day after the due date.

Bit by bit clarification:

A fine of $0.75 is paid if the book returned by the due date.

No fine is paid if the book is returned 1 day after the due date.

A fine of $0.75 is paid if the book is returned 1 day after the due date.

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3 years ago

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2 years ago

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anygoal [31]

Answer:

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Step-by-step explanation:

∵ The rule of the slope passing through 2 points is:

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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∴ m = $\frac{1-8}{-7-7}=\frac{-7}{-14}=\frac{1}{2}$

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2 years ago