Math, asked by sambaji, 1 year ago

a right circular cylinder has a diameter of 12 centimetre and height 15 cm and ice cream has to be filled in it it has the height of class in diameter 6 cm and having hemisphere shape find the number of such count required for empty the cone

Answers

Answered by Anonymous
0

Heya....

Here is your answer........



Given:


For right circular cylinder


Diameter = 12 cm


Radius(R1) = 12/2= 6 cm & height (h1) = 15 cm


Volume of Cylindrical ice-cream container= πr1²h1= 22/7 × 6× 6× 15= 11880/7 cm³


Volume of Cylindrical ice-cream container=11880/7 cm³



For cone,


Diameter = 6 cm


Radius(r2) =6/2 = 3 cm & height (h2) = 12 cm

Radius of hemisphere = radius of cone= 3 cm


Volume of cone full of ice-cream= volume of cone + volume of hemisphere


= ⅓ πr2²h2 + ⅔ πr2³= ⅓ π ( r2²h2 + 2r2³)


= ⅓ × 22/7 (3²× 12 + 2× 3³)


= ⅓ × 22/7 ( 9 ×12 + 2 × 27)


= 22/21 ( 108 +54)


= 22/21(162)


= (22×54)/7


= 1188/7 cm³



Let n be the number of cones full of ice cream.



Volume of Cylindrical ice-cream container =n × Volume of one cone full with ice cream


11880/7 = n × 1188/7


11880 = n × 1188


n = 11880/1188= 10


n = 10


Hence, the required Number of cones = 10


Thanks....!!!

XD

Sorry baby 'wink'



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