a cylindrical jug of height 24cm and radius of base 7cm is full of milk to be served by the glasses in the shape of frustum of a cone. Find the number of glasses that could be served if each glasses is of height 9cm and radii of its base are 2cm and 1cm
Answers
Step-by-step explanation:
volume of cylinder = πr^h
22/7×7×7×24
154×24
3696 cm^
volume of frustum of cone = 1/3πh(r1^+r2^+r1×r2)
1/3×22/7×9×(2^+1^+2×1)
1/3×22/7×9×7
66
number of glasses = 3696/66
56
therefore,there are 56 glasses in the cylinder jug
Given : A cylindrical jug of height 24cm and radius of base 7cm is full of milk
glasses in the shape of frustum of a cone.
each glass is of height 9cm and radii of its
base ae 2cm and 1cm
To Find : Number of glasses that can be served
Solution:
Volume of cylinder = πr²h
Volume of jug = π * 7² * 24
frustum cone Volume = (1/3) π (r₁² + r₂² + r₁r₂)h
Volume of one glass = (1/3) π (2² +1² 2*1)9
= (1/3) π (4 +1+ 2)9
= 21π
Number of glasses that can be served = π * 7² * 24 / 21π
= 7 * 24 / 3
= 7 * 8
= 56
56 glasses can be served,
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