The volume of a can is directly proportional to the height of the can. If the volume of the can is 500 cmcubed when its height is 15.63 cm, find the volume to the nearest whole number of a can with height 17.96 cm.

Volume is 575 cubic centimeters to nearest whole number

Step-by-step explanation:

In this question, we are asked to use proportionality to determine volume.

We proceed as follows;

Firstly we are told volume is proportional to height directly. Let’s say volume is v and height is h

Mathematically, V = kh

Where k stands for the constant of proportionality.

Let’s find k. We use the statement that gave the volume and the height.

In the statement, we have volume as 500 cubic centimeters and height as 15.63cm

Hence;

500 = 15.63k

K = 500/15.63

K = 31.99 sq. Cm

Now we are to find volume given the height

We go back to the basics;

V = kh

V = 31.99 * 17.96

V = 574.54 cubic centimeter = 575 cubic centimeters to nearest whole number

The volume of a can with height 17.96 cm is 575 cm³

Step-by-step explanation:

The volume of the

Let the constant of proportionality be C

Therefore, volume of the  = Height of can × C

To find the value of C, we note that when the volume of the can is 500 cm³, the height of the can is 15.63 cm

Therefore, 500 cm³ = 15.63 cm × C

∴ C = 500/15.63 = 31.99

The volume of a can of height 17.96 cm is therefore given by;

Volume of can at height 17.96 = 17.96 × 31.99 = 574.54 cm³≈575 cm³ to the nearest whole number.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1