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3 years ago

The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Answer:

249.14 mm³

Step-by-step explanation:

r = diameter/2

= 7.8 /2

volume = 4/3 π r³

= 4/3 * 3.15 * (7.8/2)³

= 249.14 mm³

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PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by

photoshop1234 [79]

Answer:

1) The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

$A = x\cdot y$ (1)

Where:

$A$ - Area, measured in square feet.

$x$ - Length, measured in feet.

$y$ - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

$A' = 2\cdot A$ (2)

By applying (1) in (2), we get the following expression:

$A' = 2\cdot x\cdot y$ (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

$A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y$

$A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ (3b)

The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) If we know that $x = 13\,ft$ and $y = 15\,ft$ , then the length and the width of the new patio are, respectively:

$x' = \sqrt{2}\cdot x$

$x' = \sqrt{2}\cdot (13\,ft)$

$x' \approx 18.4\,ft$

$y' = \sqrt{2}\cdot y$

$y' = \sqrt{2}\cdot (15\,ft)$

$y' \approx 21.2\,ft$

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

8 0

3 years ago

Gary found 72 shells and 40 queens at the beach he wants to give them to some of his friends each friend receive the same number

harkovskaia [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

5a +8 2ab + 4 simplifies into:

GREYUIT [131]

Answer:

I think it is 5a+2ab+12

6 0

3 years ago

A dog owner buys a 50 lbs bag of dog food. Each day she used 2 lbs of dog food to feed her dogs. After 15 days how much dog food

vesna_86 [32]

She'll have 20lbs left

8 0

3 years ago

Read 2 more answers

liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?

slava [35]

<u>Answer:</u>

Liam will use 3.5 gallons of paint to paint his living room

<u>Solution:</u>

Given that Liam has $8 \frac{3}{4}$ gallons of paint.

He uses $\frac{2}{5}$ of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = $8 \frac{3}{4}$ gallons

Converting mixed fraction $8 \frac{3}{4}$ to decimal we get 8.75

Amount of paint used = 2/5th of available amount

$= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }$

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0

4 years ago

The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.​

The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V.