MATHEMATICS HIGH SCHOOL

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? 8 in3
24 in3
48 in3
72 in3

Answers

Answer 1

Answer:

Answer:

72 cubic inches

Step-by-step explanation:

Volume of cone = $(1)/(3)\pi r^(2) h$ --1

Volume of cylinder = $\pi r^(2) h$ --2

We are given that a cylinder should fit exactly inside the cone

On comparing 1 and 2 we can see:

$\text{Volume of cone}= (1)/(3) \text{Volume of cylinder}$

Since we are given the volume of cone is 24 cubic inches .

So, $24= (1)/(3) \text{Volume of cylinder}$

$24 * 3= \text{Volume of cylinder}$

$72= \text{Volume of cylinder}$

Hence the volume of cylinder is 72 cubic inches

Option D is correct.

Answer 2

Answer: The correct answer is letter D. 72 in3

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Answers

Answer:

Solve using the information below.

Step-by-step explanation:

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Answers

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What is the solution of the system? Use substitution. 4x – y = 5
3x – 7 = 2
A) (3, 7)
B) (7, -7)
C) (-3, 7)
D) (3/4, 2/5)

Answers

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5 so we can find the value for y

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4(3)-y=5

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Add -12

-y+12-12=5-12

-y=-7

Now divide both sides by -1 so we can find the positive value for y

-y/-1=-7/-1

y=7

The answer is A

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Jean walked 1 mile to her friends house, and then bicycled for 2 hours at m miles per hour. Write an expression for the total length of her trip.

Answers

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