Question

The total surface area of ​​a perpendicular round vessel open on one side is 2002 sq. Cm. If the length of the ground diameter of the pot is 14 cm, calculate how many liters of water will hold in the pot.qusestion math​

Answer 1

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

Answer 2

ANSWER:

Radius of the cone, r = 1.5 cm

Height of the cone, h = 5 cm

∴ Volume of the cone, V = 13πr2h=13×227×(1.5)2×5=11.79 cm3 

Thus, the volume of the cone is 11.79 cm3.

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