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3 years ago

What is the difference between surface area and volume? formulas please!

2 answers:

3 0

Surface area is the combined areas of all the sides of the shape and volume is the area within the shape

for example if you had a box filled with water the area of the box is the surface area and the amount of water would represent the volume

Masteriza [31]3 years ago

3 0

Surface area is a quantity of measurement associated with 2 dimensional shapes.
Example: Area of Rectangle = Length * breadth
Area of triangle = (1/2) * base* height.
While:
Volume is a quantity of measurement associated with 3 dimensional solid shapes.
Example: Volume of Cuboid = Length * breadth * height
Volume of sphere = (4/3) * Pi* r^3.

We can see that Area is 2 dimensional while volume is 3 dimensional.

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What did the cheesy Elvis sing about?

Nady [450]

Answer:

do you mean Elvis Presley if so he wasn't cheesy he was a great musician with great movies don't talk bad about the king of rock n roll.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

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

Read 2 more answers

Which properties are used to simplify 4/5y+3(2/5x+7/5y) to 5y+6/5x

SSSSS [86.1K]

4/5y + 3(2/5x + 7/5y)...distribute thru the parenthesis
4/5y + 6/5x + 21/5y ...combine like terms
25/5y + 6/5x.....reduce
5y + 6/5x

8 0

2 years ago

Evaluate 4!. 4 12 24

jenyasd209 [6]

4! means the following:
$4!=4\times3\times2\times1=24$

3 0

3 years ago

Read 2 more answers

You measure the weight of 38 bags of nuts, and find they have a mean weight of 78 ounces. Assume the population standard deviati

Ket [755]

Answer: The maximal margin of error is 4.822.

Step-by-step explanation:

Since we have given that

Number of bags = 38

Sample mean = 78 ounces

Standard deviation = 14.5 ounces

At 96% confidence interval for the true population mean bags of nut weight.

So, z = 2.05

As we know that formula for "Margin of error":

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=2.05\times \dfrac{14.5}{\sqrt{38}}\\\\=4.822$

Hence, the maximal margin of error is 4.822.

8 0

3 years ago