Respuesta :
Answer:
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
Answer:
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.
