A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12cm and diameter 6 cm having a hemispherical shape on the top find the number of such cones which can be filled with ice cream.
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Step-by-step explanation:
Cylinder
d=12cm
r=6cm
h=15cm
Cone
d=6cm
r=3cm
h=12cm
Hemisphere
d=6cm
r=3cm
# = pie( kindly note)
n× vol. (cone + hemisphere) = vol. (cylinder)
n×(1/3#r^2h + 2/3#r^3) = #r^2h
n×1/3#r^2(h+2r) = #r^2h
n×(1/3)×3×3(12+6)=6×6×15
n×3×18=6×6×15
n=(6×6×18)÷(3×18)
n=10
$$$$$$$$$$$$$$
Hence, no: of such cones is 10
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