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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
7 024 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
A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?
Step-by-step answer
P Answered by PhD

The total nom of  code that can be used is equal to 5+3 = 8

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
In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

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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Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
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