GATE (GA) Textile 2018 Question Paper Solution | GATE/2018/GA/05

Question 05 (General Aptitude)

Arrange the following three-dimensional objects in the descending order of their volumes:
(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

(A)(i), (ii), (iii), (iv)
(B)(ii), (i), (iv), (iii)
(C)(iii), (ii), (i), (iv)
(D)(iv), (iii), (ii), (i)
Answer / Solution

(i)Volume of a cuboid=Length x Width x Height
Volume of a cuboid=10 x 8 x 6
Volume of a cuboid=480 cm^3

(ii)Volume of cube=side^3
Volume of cube=8^3
Volume of cube=512 cm^3

(iii)Volume of a cylinder=\pi \times r^2 \times h
Volume of a cylinder=3.14 \times 7^2 \times 7
Volume of a cylinder=1077.02 cm^3

(iv)Volume of sphere=\frac{4}{3}\times \pi \times r^3
Volume of sphere=\frac{4}{3}\times \times 3.14 \times 7^3
Volume of sphere=1436.03 cm^3

So, descending order of volume-iv , iii ,ii ,i (Ans)

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