# Surface Areas and Volumes Case Study Based Questions 01 Term II

## 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}

4. The height of the conical tent prepared to accommodate four students is

(a) 18 m
(b) 10 m
(c) 24 m
(d) 14 m

(c) 24 m

5. How much space on the ground is occupied by each student in the conical tent

(a) 54 m^{2}
(b) 38.5 m^{2}
(c) 86 m^{2}
(d) 24 m^{2}

(b) 38.5 m^{2}

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