Using known formulas for cylinders, we will get:
- i) 4,000.36 cm^3
- ii) 4,000.36 cm^3
- iii) 1,142.96 cm^2.
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Working with cylinders:</h3>
We know that the pot has a diameter of 10cm and a height of 21 cm, and the hole must be 4 cm wider (so the diameter is 14cm) and 5 cm deeper (so the height is 26cm).
i) The volume of a cylinder of radius r and height H is given by:
V = pi*r^2*H
Where pi = 3.14, and the radius is half the diameter, so we have:
r = 14cm/2 = 7cm.
Then the volume is:
V = 3.14*(7cm)^2*26cm = 4,000.36 cm^3
ii) To fill a volume of 4,000.36 cm^3, you need 4,000.36 cm^3 of water.
iii) The curve surface of a cylinder is given by:
S = 2*pi*r*H
Remember that:
r = 7cm
H = 26cm.
Replacing that we get:
S = 2*3.14*7cm*26cm = 1,142.96 cm^2
So se must paint an area of 1,142.96 cm^2.
If you want to learn more about cylinders, you can read:
brainly.com/question/7194993
