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2 years ago

13

Is there a linear relationship between the radius and the volume of these cylinders? Explain how you know.

2 answers:

Sphinxa [80]2 years ago

4 0

Answer:

The relationship between r and V is not linear.

Step-by-step explanation:

The volume increases exponentially as r increases linearly.

storchak [24]2 years ago

3 0

The relationship between radius and volume is not linear 9. There are many cylinders with a height of 9 inches. Let r represent the radius in inches and V represent the volume in cubic inches. Complete the table and write each volume as a multiple of π, or round to the nearest cubic inch.

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A city received 17 inches of rain last year which was only 37% of what the usually get, how many inches doe it normally get?

Elina [12.6K]

You use the unitary method :)

8 0

3 years ago

The sphere is _____ cubic centimeters bigger than the cube. (Round to the nearest cubic centimeter.)

Misha Larkins [42]

ANSWER

The sphere is 10762 cubic centimeters bigger than the cube.

EXPLANATION

We want to find the difference in the volumes of the sphere and the cube.

To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.

The volume of a sphere is given as:

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

where r = radius

The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

$\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot15^3 \\ V\approx14137\operatorname{cm}^3 \end{gathered}$

The volume of a cube is given as:

$V=s^3$

where s = length of the side

The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

$\begin{gathered} V=15^3 \\ V=3375\operatorname{cm}^3 \end{gathered}$

Therefore, the difference in the volumes of the sphere and cube is:

$\begin{gathered} V_d=V_s-V_c \\ V_d=14137-3375 \\ V_d=10762\operatorname{cm}^3 \end{gathered}$

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.

6 0

1 year ago

nalin [4]

Answer:

idk

Step-by-step explanation:

i+d+k= idk

6 0

3 years ago

The vertices of a polygon are P(0,4), Q(5,4), R(5,−3) and S(0,−3). What is

andrezito [222]

Answer:

Perimeter of the polygon p = 24

Step-by-step explanation:

Step(i):-

Given the vertices of a polygon are

P(0,4) ,Q( 5,4) ,R( 5,-3) and S(0,-3)

The distance of PQ

$a = PQ = \sqrt{(4-4)^{2} +(5-0)^{2} } = \sqrt{25} =5$

The distance of QR

$b = Q R= \sqrt{(-3-4)^{2} +(5-5)^{2} } = \sqrt{49} =7$

The distance of RS

$c = RS = \sqrt{(0-5)^{2} +(-3+3)^{2} } = \sqrt{25} =5$

The distance of PS

$d = PS = \sqrt{(0-0)^{2} +(-3-4)^{2} } = \sqrt{49} =7$

<u><em>Step(ii):-</em></u>

Perimeter of the polygon

= sum of all sides of polygon

p = a+ b+ c+ d

p = 5+7+5+7

p = 24

<u><em>Final answer:-</em></u>

Perimeter of the polygon p = 24

5 0

3 years ago

A sauce recipe calls for a cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the

tia_tia [17]

Answer:

She estimates that the tripled recipe will need

✔ less than 3

cups of chicken broth.

The exact amount of chicken broth needed is

✔ 9/4

cups.

Step-by-step explanation:

4 0

3 years ago