Question

A hemispherical bowl has diameter 9cm.The liquid is poured into cylindrical bottles of diameter 3cm and 3cm.If a full bowl of liquid is filled in the bottles,find how many bottles are required.

Answer 1

For hemisphere,
Diameter = 9cm
Radius (R)= 9/2 = 4.5cm

For cylinder,
Diameter = 3cm
Radius (r)=3/2 = 1.5cm
Height (h)=3cm
Let the no. of cylinders = n

A/Q Volume of hemisphere = Volume of cylinder X n
2/3πR³ = πr²h X n
2/3π(4.5)³ = π(1.5)² X 3 X n
On cancelling π on both sides,
n= 2 X (4.5)³ / 3 X (1.5)² X 3
n= 9 cones Ans.

Answer 2

Answer:

Step-by-step explanation:

GIVEN : For hemisphere:

Diameter = 9cm

Radius (R)= 9/2 = 4.5 cm

For cylinder :

Diameter = 3 cm

Radius (r)=3/2 = 1.5 cm

Height (h)=3cm

Let the no. of Cylindrical bottles = x

ATQ

Volume of hemisphere = Volume of cylinder × x

No. of Cylindrical bottles =Volume of hemisphere/Volume of cylinder

No. of Cylindrical bottles = 2/3πR³ / πr²h

No. of Cylindrical bottles = 2/3π(4.5)³ /π(1.5)² × 3

No. of Cylindrical bottles = 2/3× (4.5)³ / (1.5)² X 3

x = 2× 1.5 × 4.5 × 4.5 / 1.5 × 1.5 × 3

x = 2 × 4.5 = 9

x= 9

Hence, the no. of Cylindrical bottles required = 9.

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