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- An adhesive compound in liquid form is prepared in a container of hemispherical shape having a radius of 180 cm.
Question 1:
An adhesive compound in liquid form is prepared in a container of hemispherical shape having a radius of 180 cm. This compound is to be packed in cylindrical bottles of radius 1 cm and height of 4 cm. How many bottles are needed if the liquid prepared exactly fills the container? [Take π = 3.] A. 1.94
B. 388800
C. 972000
Feedback Number of bottles required = total volume of the liquidvolume of one bottle
Volume of the liquid = Volume of the hemisphere ⇒ 2 / 3× 3 × 1803 = 11664000 cm3
[Volume of the hemisphere = 2 / 3π r3.]
Volume of one bottle ⇒ 3 × (1)2 × 4 = 12 cm3
[Volume of the cylinder = π (r)2 h.]
Number of bottles ⇒ 11664000 / 12 = 972000 (approximately)
Volume of the liquid = Volume of the hemisphere ⇒ 2 / 3× 3 × 1803 = 11664000 cm3
[Volume of the hemisphere = 2 / 3π r3.]
Volume of one bottle ⇒ 3 × (1)2 × 4 = 12 cm3
[Volume of the cylinder = π (r)2 h.]
Number of bottles ⇒ 11664000 / 12 = 972000 (approximately)
D. 16200
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