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

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
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
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

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

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

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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