A cylindrical vessel of radius 7cm and height 30cm is full of ice cream. how many ice creams cones each of radius 3cm and height 8cm with hemispherical tops can be formed with ice cream from vessels?
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Class 10>>Maths>>Surface Areas and Volumes>>Volume of Combined Solids>>A cylindrical container of ...
Question
A cylindrical container of radius 6 cm and height 15 cm is fulled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, find the radius of the ice-cream cone
A
3 cm
B
1 cm
C
4 cm
D
2 cm
Medium
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Solution
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Correct option is
A
3 cm
Given, Radius of cylindrical container =6cm
Height of cylindrical container =15cm
Volume of cylinder =πr2h
=π×36×15
=540πcm3
Now, as it has to be divided among 10 children
∴ Dividing volume by 10=10540=54πcm3
Volume of cone + Volume of hemispherical top = Volume of ice-cream in it.
⇒31πr2h+32πr3=πr2h
⇒31πr2(4r)+32πr3=54π
⇒31πr3(4+2)=54π
⇒2r3=54⇒r=3
Hence, the radius of icecream cone
Answer:
A cylindrical vessel of radius is 7cm and height 30 cm
cone value use 2πr²h
2×22/7×(7)²×30
2x22/7×49×30
answer is volume of ice cone 9240 is required