## Mathematics TERM II

## Surface Areas & Volumes

## Class 10 Session 2021-2022

## Case Study Questions 01

Adventure camps are the perfect place for the children to practise decision making for themselves without parents and teachers guiding them every move. Some students of a school reached for adventure at Sakleshpur. At the camp, the waiters served some students with a welcome drink in a cylindrical glass while some students in a hemispherical cup whose dimensions are shown below. After that they went for a jungle trek. The jungle trek was enjoyable but tiring. As dusk fell, it was time to take shelter. Each group of four students was given a canvas of area 551 `m^{2}`. Each group had to make a conical tent to accommodate all the four students. Assuming that all the stitching and wasting incurred while cutting, would amount to 1 `m^{2}`, the students put the tents. The radius of the tent is 7 m.

1. The volume of cylindrical cup is

(a) 295.75 `cm^{3}`

(b) 7415.5 `cm^{3}`

(c) 384.88 `cm^{3}`

(d) 404.25 `cm^{3}`

(d) 404.25 `cm^{3}`

2. The volume of hemispherical cup is

(a) 179.67 `cm^{3}`

(b) 89.83 `cm^{3}`

(c) 172.25 `cm^{3}`

(d) 210.60 `cm^{3}`

(b) 89.83 `cm^{3}`

3. Which container had more juice and by how much?

(a) Hemispherical cup, 195 `cm^{3}`

(b) Cylindrical glass, 207 `cm^{3}`

(c) Hemispherical cup, 280.85 `cm^{3}`

(d) Cylindrical glass, 314.42 `cm^{3}`

(d) Cylindrical glass, 314.42 `cm^{3}`

(a) 18 m

(b) 10 m

(c) 24 m

(d) 14 m

(c) 24 m

(a) 54 `m^{2}`

(b) 38.5 `m^{2}`

(c) 86 `m^{2}`

(d) 24 `m^{2}`

(b) 38.5 `m^{2}`