09.04.2023

A cylinder has a height h, and a radius (3h-2) The area of the base is pi (3h-2)^2

The volume of the clinder is V= pi(3h-2)^2h

10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by

. 1

Step-by-step answer

24.06.2023, solved by verified expert
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2 students found this answer . helpful

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

Step-by-step explanation:

Given

Shape: Cylinder

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

Required

Simplify the volume

The volume is calculated as:

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

Substitute values for Base Area and Height

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

Expand the bracket

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

Open brackets

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

A cylinder has a height h, and a radius (3h-2), №17886912, 09.04.2023 20:39

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Mathematics
Step-by-step answer
P Answered by PhD

V= 4\pi (9h^2 -12h + 4)

Step-by-step explanation:

Given

Shape: Cylinder

Radius = 3h - 2

Height = h

Base\ Area = \pi (3h - 2)^2

Required

Simplify the volume

The volume is calculated as:

Volume = Base\ Area * Height

Substitute values for Base Area and Height

V= \pi(3h-2)^2*h

Expand the bracket

V= \pi(3h-2)(3h-2)*h

Open brackets

V= \pi (9h^2 -6h - 6h + 4) *h

V= \pi (9h^2 -12h + 4) *h

V= 4\pi (9h^2 -12h + 4)

Mathematics
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
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
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

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

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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