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inessss [21]
2 years ago
12

A cylinder has a height h, and a radius (3h-2)

Mathematics
1 answer:
tekilochka [14]2 years ago
6 0

Answer:

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)

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kvasek [131]

Answer:

Step-by-step explanation:

1. D

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3 years ago
In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz
KatRina [158]

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

\frac{1}{10} of CDs is given by

\frac{1}{10}\times 100\\\\=10

According to question,

\frac{1}{5} of her Jazz CDs represents \frac{1}{10} of all her CDs.

Let the number of Jazz CDs be  x

So, it becomes

\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50

So, Number of Jazz's CDs is 50

Number of Jazz non CDs  is given by

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Verizon [17]

Answer:

Slope: -\dfrac{1}{2}

Equation: y=-\dfrac{1}{2}x+8

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The line of the best fit passes through the points (0,8) and (4,6).

If the line passes through the points (x_1,y_1) and (x_2,y_2) then the slope of the line is

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The equation of the line is

y=mx+b,

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

y=-\dfrac{1}{2}x+8

4 0
3 years ago
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