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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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
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
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
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
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

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

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