Answer:
Volume of smaller canister = 763.02
Surface area of smaller canister = 466.29
Volume of larger canister = 6104.16
Surface area of larger canister = 1865.16
Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.
Step-by-step explanation:
Given that :
Diameter of Smaller canister = 9 cm
Height of Smaller canister = 12 cm
Larger canister is double the size of smaller one i.e. height and diameter are doubled.
To find:
Volume and surface area of each canister and their comparison.
Solution:
First of all, let us have a look at the formula of volume and surface area of a cylinder.
Volume,
Surface Area,
where r and h are the radius and height of the cylinder respectively.
Radius is half of diameter.
Radius of smaller canister is given by:
Height,
Volume,
Surface Area,
Now, Diameter / Radius and height of larger canister are doubled of smaller one.
Radius of larger canister is given by:
Height,
Volume,
Surface Area,
Comparing the results, we can easily see that:
i.e. Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.