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3 years ago

The cone and cylinder above have the same radius and height. The volume of the cone is 210 cubic centimeters. What is the

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

5 0

Answer:

706.3 cm³

Step-by-step explanation:

Given

"The cone and cylinder above have the same radius and height..."

the volume of the cone = 210 cubic centimeters

Formula

The formula for the volume of a cylinder is V=Bh or V=πr2h. The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h.

How to solve

Given radius and height calculate the volume, lateral surface area, and total surface area.

Calculate V, L, A | Given r, h

use the formulas above

Given radius and volume calculate the height, lateral surface area, and total surface area.

Calculate h, L, A | Given r, V

h = V / πr2

Given radius and lateral surface area calculate the height, volume, and total surface area.

Calculate h, V, A | Given r, L

h = L/2πr

Given the height and lateral surface area calculate the radius, volume, and total surface area.

Calculate r, V, A | Given h, L

r = L/2πh

Given height and volume calculate the radius, lateral surface area, and total surface area.

Calculate r, L, A | Given h, V

$r = √( V / πh )

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When you have a triangle and 2 of 3 angles are given the degrees and the last one is unknown, you subtract the two given degrees

storchak [24]

No, that's not right. Sadly, the answer you entered on the
attached drawing is incorrect. It's slightly more complicated
than that ... only slightly.

First, think about this for a second: What if the two GIVEN angles
on the drawing had the same number of degrees ? Then by the
method you've been using, you would subtract them from each
other, and that would give you zero. So you would say that the
last angle is zero degrees ? Can you see that this doesn't really
work ?

Here's how it's really done:

It all rests on a rule about triangles. This is ALWAYS true, and
you should memorize it:

   When you add up the degrees of all three angles
   inside a triangle, the sum is ALWAYS 180 degrees.

So now, when you're given two of the angles, you know that
the unknown one must be exactly enough to bring the sum of
ALL of them up to 180 degrees.

Work it like this:

-- Take the two given angles.
-- ADD them.
-- Subtract their SUM from 180.
   Now you have the third angle.

In the drawing you attached:

-- The given angles are 39 and 102 .
-- Add them: 39 + 102 = 141
-- Subtract the sum from 180: 180 - 141 = 39 .
   The unknown angle is 39 degrees.

But that's the same as one of the given angles ! ? :-( ? :-(

That's OK. It's perfectly fine for two of the angles, or sometimes
even all three, to be the same size. They just have to all add up
to 180 degrees, and everything is fine.

4 0

3 years ago

Read 2 more answers

PLEASE HELP!!! what is the value of X? -5x=-35

Snezhnost [94]

-5x=-35
divide both sides by -5
-5x/-5 = -35/-5
simplify
x = 7

6 0

3 years ago

Read 2 more answers

X + (2x + 5) = 3(x – 4)+7

eduard

Answer:

Not true

Step-by-step explanation:

x + (2x + 5) = 3(x – 4)+7

Opening bracket on left and side and distributing 3 over (x-4) on right hand side

x+2x+5=3x-3 x 4 + 7

adding like terms

3x+5=3x-12+7

3x+5=3x-5

Hence

5 = -5

Which is not possible , Hence the equation given to us is false.

5 0

3 years ago

If a^2+1/a^2=79 where (a>0), find the value of a^3 +1/a^3

Nastasia [14]

Note the binomial expansion,

(a + 1/a)³ = a ³ + 3a + 3/a + 1/a ³

a ³ + 1/a ³ = (a + 1/a)³ - 3 (a + 1/a)

Similarly,

(a + 1/a)² = a ² + 2 + 1/a ²

We're given a ² + 1/a ² = 79, so

(a + 1/a)² - 2 = 79

(a + 1/a)² = 81

a + 1/a = ±9

but a > 0, so we ignore the negative solution.

Then

a ³ + 1/a ³ = 9³ - 3×9 = 702

7 0

3 years ago

An experienced landscaper can landscape garden with an area of 60sq.m thrice as fast as an apprentice. Working together, it take

Genrish500 [490]

Answer:

It will take the apprentice 24 days working alone

Step-by-step explanation:

Let the number of days it takes the apprentice be x

It will take the landscaper x/3 ( since he is three times faster)

The rate for both will be 60/6 = 10 sq m per day

Rate for apprentice is 60/x

rate for the boss is 60/x/3 = 180/x

Adding the rates together;

60/x + 180/x = 10

240/x = 10

240 = 10x

x = 240/10

x = 24 days

7 0

3 years ago