A cone filled with orange juice of height 50 cm and base area (area of base of cone) is 120cm². The juice is filled in cylindrical cups of height 8cm and diameter 10 cm.find the number of cups which can be filled with juice???
Please answer it fast .....
ranjanavirutkar:
Maharashtra
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πr² = 120
r² = 120/π cm
Volume of cone in which orange juice is filled = 1/3 π r²h
= 1/3 × 120/π × 50 × π
= 2000cm³
Volume of one cup = πr²h
= π × 5 × 5 × 8
= 200π cm³
Number of cups = Volume of cone filled juice / volume of one cup
= 2000 / 200π
= 20/2π
= 10/π
= 3.18
Approx 3 cups
r² = 120/π cm
Volume of cone in which orange juice is filled = 1/3 π r²h
= 1/3 × 120/π × 50 × π
= 2000cm³
Volume of one cup = πr²h
= π × 5 × 5 × 8
= 200π cm³
Number of cups = Volume of cone filled juice / volume of one cup
= 2000 / 200π
= 20/2π
= 10/π
= 3.18
Approx 3 cups
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