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)

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(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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