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2 years ago

How do I divide fractions with a whole number

Mathematics

1 answer:

spin [16.1K]2 years ago

3 0

Answer:

To Divide a Fraction by a Whole Number:

Multiply the bottom number of the fraction by the whole number. Step 2. Simplify the fraction (if needed)

Step-by-step explanation:

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

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What is the volume of this cube?

jolli1 [7]

Answer:

v=a3

Step-by-step explanation:

the internet told me

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2 years ago

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brad wants to open a new saving account. he finds one that returns 3% on his investment each year.Use the varibles to write a fo

Vsevolod [243]

3% is the interest so you would do 3% of the investment plus the original investment so 3%×I=z and then z+I=the answer. sorry if this didnt help I'm new and I tried my best sorry!

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2 years ago

To which subset of real numbers does the number 1/5 belong?

nasty-shy [4]

Answer: Option 'B' and 'C' are correct.

Step-by-step explanation:

Since we know that irrational numbers are those real number which cannot be written in $\frac{p}{q}$ form.

Rational numbers are those real numbers which can be written in $\frac{p}{q}$ form.

Inverse property of multiplication is that property in which we write a number in reciprocal form .

Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.

Hence, $\frac{1}{5}$ belongs to rational numbers sets and inverse property of multiplication sets.

Therefore, Option 'B' and 'C' are correct.

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Ima need sum more help

laiz [17]

Answer:

Step-by-step explanation:

Because yes

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