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Class - 7

## Bharat Gupta is teaching live on Unacademy Plus

Bharat Gupta
Engineer by degree Mathematician by Heart. Having 22 years of teaching experience. Visit my youtube channel BHARAT GUPTA-RADIX .

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1. IIFT 2018 Quantitative solution Part -7

2. A bucket contains 200 cc of liquid. A solid ball is dropped in the bucket resulting in the rise of liquid level to 1.3 times of the original level. If the radius of the base of the bucket is 3 cm and the radius of the surface of the liquid level is 1 cm more than the radius of the base of the bucket before the ball is dropped. Find the volume of the solid metal ball a. 68 cc b. 80 cc c. 92 cc d. Can't be determined.

3. A bucket contains 200 cc of liquid. A solid ball is dropped in the bucket resulting in the rise of liquid level to 1.3 times of the original level. If the radius of the base of the bucket is 3 cm and the radius of the surface of the liquid level is 1 cm more than the radius of the base of the bucket before the ball is dropped. Find the volume of the solid metal ball a. 68 co b. 80 cc c. 92 cc d. Can't be determined. 3h L1 un hi 2 GCD

4. A bucket contains 200 cc of liquid. A solid ball is dropped in the bucket resulting in the rise of liquid level to 1.3 times of the original level. If the radius of the base of the bucket is 3 cm and the radius of the surface of the liquid level is 1 cm more than the radius of the base of the bucket before the ball is dropped. Find the volume of the solid metal ball a. 68 co b. 80 cc c. 92 cc d. Can't be determined. 3h lhi 3h

5. A metallic solid is made up of a solid cylindrical base with a solid cone on its top. The radius of the base of the cone is 5 cm. and the ratio of the height of the cylinder and the cone is 3 : 2. A cylinder hole is drilled through the solid with height equal to 2/3rd of the height of solid. What should be the radius in cm of the hole so that the volume of the hole is 1/3rd of the volume of the metallic solid after drilling? a. 45 8 h 35 8 65 b. C. d. 8

6. A metallic solid is made up of a solid cylindrical base with a solid cone on its top. The radius of the base of the cone is 5 cm. and the ratio of the height of the cylinder and the cone is 3 : 2. A cylinder hole is drilled through the solid with height equal to 2/3rd of the height of solid. What should be the radius in cm of the hole so that the volume of the hole is 1/3rd of the volume of the metallic solid after drilling? 45 65 8 35 8 8 2S uo 2. 3

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