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2 years ago

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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3 years ago

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kvasek [131]

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Step-by-step explanation:

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2 years ago

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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]

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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.

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3 years ago

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Verizon [17]

Answer:

Slope: $-\dfrac{1}{2}$

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

Step-by-step explanation:

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

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

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3 years ago