A solid metallic sphere of radius 5.6 cm is melted and solid cone each of radius 2.8 cm and height 3.2 cm are made find the number of such conform
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5
radius of sphere=5.6cm
hence,volume of sphere=4/3πrcube
=4/3×22/7×5.6cube
=4/3×22/7×175.61
=735.88cm cube
Now,
radius of cone=2.8cm
height of cone=3.2cm
volume of one cone=πrl
=22/7×2.8×3.2
=28.16cm cube
No. of cone made by sphere =26
hence,volume of sphere=4/3πrcube
=4/3×22/7×5.6cube
=4/3×22/7×175.61
=735.88cm cube
Now,
radius of cone=2.8cm
height of cone=3.2cm
volume of one cone=πrl
=22/7×2.8×3.2
=28.16cm cube
No. of cone made by sphere =26
Answered by
4
Answer:
28 cones
Step-by-step explanation:
Find the volume of the sphere:
Volume = 4/3 πr³
Volume = 4/3 π (5.6)³ = 735.91 m³
Find the volume of a cone:
Volume = 1/3 πr²h
Volume = 1/3 π (2.8)² (3.2) = 26.28 m³
Find the number of cones form:
Number of cones = 735.91 ÷ 26.28 = 28
Answer: 28 cones
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