All categories

3 years ago

A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V_1=\pi r^2H$

r - radius

H - height

The formula of a volume of a cone:

$V_2=\dfrac{1}{3}\pi r^2H$

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

$V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}$

Therefore:

$V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3$

You might be interested in

Will give Brainlys help with math problem

d1i1m1o1n [39]

Answer:

8 / 15

Step-by-step explanation:

By Pythagoras theorem,

OP² + PQ² = OQ²

OP² + 8² = 17²

OP² = 17² - 8²

= 289- 64

OP² = 225

OP² = 15²

OP = 15

Formula : -

Tan θ = Opposite side / Adjacent side

Here,

θ = Q

Opposite side = PQ = 8

Adjacent side = OP = 15

Tan Q = 8 / 15

4 0

3 years ago

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

3 years ago

What is the awnser.i don't get it.

Dennis_Churaev [7]

8x+Y=-16
answer
Y=-8x-16

6 0

4 years ago

Read 2 more answers

Two balls are pulled one after another, without replacement, from the box containing three black, five yellow, and seven red bal

kolezko [41]

Answer:

1/14

Step-by-step explanation:

5/15 × 3/14 = 1/14

Or 0.0714 (3sf)

6 0

3 years ago

Find the slope of the line through (4, 6) and (4, 10).<br> A.0<br> B.3<br> C.1/3<br> D. Undefined

Neko [114]

Answer:

D. Undefined

Step-by-step explanation:

4-4 = 0, 10-6 = 4

Change of x = 0

Change of y = 4

Since the change of x is 0 (a horizontal line), it is undefined.

6 0

3 years ago