Buttermilk fills a frustum-shaped jug with end radii 24 cm and 6 cm and a depth of 7 cm. It is emptied into cylindrical glasses of radius 3 cm and height 7 cm. How many glasses can be filled? (Take \π = 22/7 .)

Question

Accepted Answer

28. Jug = 1/3 × 22/7 × 7 × (576 + 36 + 144) = 22/3 × 756 = 5544 cm³. Glass = 22/7 × 3^2 × 7 = 198 cm³. Number = 5544/198 = 28. 22 drops the Rr term from the jug; 84 treats the glasses as cones (dividing by 1/3\π r^2 h ); 112 halves 3 cm as though it were the glass’s diameter.

Buttermilk fills a frustum-shaped jug with end radii 24 cm and 6 cm and a depth of 7 cm. It is emptied into cylindrical glasses of radius 3 cm and height 7 cm. How many glasses can be filled? (Take $π = \frac{22}{7} .$ )

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More Class 10 Frustum of a Cone practice

Buttermilk fills a frustum-shaped jug with end radii 24 cm and 6 cm and a depth of 7 cm. It is emptied into cylindrical glasses of radius 3 cm and height 7 cm. How many glasses can be filled? (Take π=722​.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Frustum of a Cone practice

Buttermilk fills a frustum-shaped jug with end radii 24 cm and 6 cm and a depth of 7 cm. It is emptied into cylindrical glasses of radius 3 cm and height 7 cm. How many glasses can be filled? (Take $π = \frac{22}{7} .$ )