Total surface area of a right circular pot open at one end is 2002sq cm. If length of diameter of base of the pot is 14 cm let us write by calculating. How much litre of water may the drum contain?
Answers
Given,
Surface area of the pot with an open end = 2002 cm²
Diameter of the base = 14 cm
To find,
Water capacity of the pot.
Solution,
Let, the height of the pot = h cm
(Assume h as a variable to do the further mathematical calculations.)
Radius of the base = 14/2 = 7 cm
Area of the base = πr² = 22/7 × 49 = 154 cm²
Curved surface area = 2×22/7×7×h = 44h cm²
According to the data mentioned in the question,
154+44h = 2002
44h = 1848
h = 42
Height of the pot = 42
Volume of the pot = Base area × Height = 154×42 = 6468 cm³
Water capacity = 6468 cm³ = 6.468 litres
(Term of unit conversion = 1000 cm³ = 1 litre)
Hence, the water capacity is 6.468 litres
Answer:
Solution,
Let, the height of the pot - h cm
(Assume h as a variable to do the further mathematical calculations.)
Radius of the base = 14/2 = 7 cm
Area of the base = m² = 22/7 x 49= 154 cm²
Curved surface area = 2x22/7x7xh = 44h cm²
According to the data mentioned in the question,
154+44h = 2002
44h = 1848
h = 42
Height of the pot = 42
Volume of the pot = Base area x Height = 154x42 = 6468 cm³
Water capacity = 6468 cm³ = 6.468 litres (Term of unit conversion = 1000 cm³=1 litre)
Hence, the water capacity is 6.468 litres