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3 years ago

14

A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the c

ylinder?

1 answer:

Hoochie [10]3 years ago

5 0

Answer:

i would not be sure but the volume of the cylinder 30

Step-by-step explanation:

think about it if it says that the cylinder and a cone have the same base and altitude. it would be the same

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4. If A = (-4, -5) and B = (-1, -10), what is the length of segment AB? Round your answer to the nearest hundredth.

HACTEHA [7]

Answer:

5.83095 or √34

Step-by-step explanation:

Find the difference between coordinates:

(x2-x1) = (-1 - -4) = 3

(y2-y1) = (-10 - -5) = -5

Square the results and sum them up:

(3)2 + (-5)2 = 9 + 25 = 34

Now Find the square root and that's your result:

Exact solution: √34 = √34

Approximate solution: 5.831

7 0

3 years ago

A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

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2 years ago

A tram moved upward 9 meters per second for 36 seconds. What was the total change in the tram's elevation?

anyanavicka [17]

Answer:

324 meters.

Step-by-step explanation:

9*36 :)

8 0

3 years ago

There are 20 people in a party. 4 of them left. Then, half of them left. How many people are left in the party?

Anna11 [10]

Answer:

8

Step-by-step explanation:

First you subtract 20 by 4. Then you get 16. 16 divided by 2 gets you 8. 8 is the answer.

Hope this helps dude

3 0

4 years ago

Read 2 more answers

Find the area of the rhombus.<br> 7.5 yd<br> 13 yd<br> 13 yd<br> 7.5 yd<br> [ ? ] yd2

Doss [256]

Answer:

195

Step-by-step explanation:

4 0

3 years ago