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3 years ago

Find the volume of the space inside the right cylinder that is not filled by the right cone below.

Mathematics

1 answer:

loris [4]3 years ago

4 0

9514 1404 393

Answer:

D. 640 m³

Step-by-step explanation:

The height CD of the cone is found using the Pythagorean theorem.

BC² + CD² = BD²

8² + CD² = 17²

CD = √(289 -64) = 15

The volume of the cylinder is ...

V = πr²h

The volume of the cone is ...

V = 1/3πr²h

So, the portion of the cylinder not occupied by the cone is ...

V = (πr²h) -(1/3πr²h) = (2/3)πr²h

V = 2/3(π)(8 m)²(15 m) = 640π m² . . . . . matches choice D

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Answer:

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Step-by-step explanation:

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Studentka2010 [4]

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3 years ago

Will do a brainly! 4/7=18/31.5

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Answer:

True

Step-by-step explanation:

4 ÷ 7 = 0.5714
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I hope this helps!

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3 years ago

A student was required to multiply a number by 4 and add 6 to it. Instead he added 6 to it first and then multiplied by 4. What

GalinKa [24]

Answer:

The correct answer is 18

the correct expression is $(4n+6)$

Step-by-step explanation:

let the number be n

therefore if he is required to multiply n by 4 and added to 6 we have

$(4n+6)= 0-----1$

given that he did otherwise by adding 6 to n and multiply by 4 we have

$(n+6)4= 36------2$

Firstly we need to solve for n in equation 2

$4n+24= 36\\4n= 36-24\\4n= 12\\$

Dividing both sides by 4 we have

$n= \frac{12}{4\\}\\n= 3$

In order to solve for the correct answer let us input n=3 in equation 1 we have

$=(4n+6)= 0-------1\\=(4*3+6)= 0\\=(12+6)=0\\= 18$

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3 years ago

Which relationships describe angles 1 and 2?

coldgirl [10]

Supplementary angles because because angle 1 + angle 2 = 180° so they form a line

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2 years ago