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Mathematics : asked on mairadua14
 19.02.2021

A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height Find the volume of the cylinder
Find the volume of the cone
What fraction of the cylinder's volume is the cone's volume?

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Step-by-step answer

09.07.2023, solved by verified expert
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Rajat Thapa
s Specialist
Mathematics, DAV Post Graduate College
5 231 answers
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Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

A cylinder has radius 9 inches and height 15, №18010340, 19.02.2021 13:33

A cylinder has radius 9 inches and height 15, №18010340, 19.02.2021 13:33

A cylinder has radius 9 inches and height 15, №18010340, 19.02.2021 13:33

A cylinder has radius 9 inches and height 15, №18010340, 19.02.2021 13:33

A cylinder has radius 9 inches and height 15, №18010340, 19.02.2021 13:33

A cylinder has radius 9 inches and height 15, №18010340, 19.02.2021 13:33

Cone's volume is one third of the cylinder's volume.

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Faq

Mathematics
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height Find the volume of the cylinder Find the volume of the cone What fraction of the cylinder s volume is the cone s volume?
Step-by-step answer
P Answered by Master

See below

Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

V_{cylinder}=\pi r^2 h

\implies V_{cylinder}=3.14 (9)^2 (15)

\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}

V_{cone}=\frac{1}{3} V_{cylinder}

\implies V_{cone}=\frac{1}{3}\times 3,815.1

\implies \huge\orange{V_{cone}=1,271.7\: inch^3}

Cone's volume is one third of the cylinder's volume.

Mathematics
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height. Find the volume of the cone. Use 3.14 for pi and round to the nearest hundredth.
Step-by-step answer
P Answered by Specialist

1271.7

Step-by-step explanation:

The volume of a cone is \frac{\pi r^2 h}{3}, so we plug in the values we are given! \frac{\pi \cdot9^2\cdot15}{3} which equals 405pi. We use 3.14 for pi to get 1271.7. Hope this helps!

Mathematics
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height. Find the volume of the cone. Use 3.14 for pi and round to the nearest hundredth.
Step-by-step answer
P Answered by Specialist

1271.7

Step-by-step explanation:

The volume of a cone is \frac{\pi r^2 h}{3}, so we plug in the values we are given! \frac{\pi \cdot9^2\cdot15}{3} which equals 405pi. We use 3.14 for pi to get 1271.7. Hope this helps!

Mathematics
Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build
Step-by-step answer
P Answered by Master

I would say A but I might be wrong, I'm not to clear on this. But I hope it helps

Mathematics
Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build
Step-by-step answer
P Answered by Specialist

I would say A but I might be wrong, I'm not to clear on this. But I hope it helps

Mathematics
You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

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