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Surface Areas & Volumes

In a right circular cone, the cross-section made by a plane parallel to the base is a

(A) circle (B) frustum of a cone (C) sphere (D) hemisphere

Mechanical Properties Of Solids

How much should the pressure on a litre of water be changed to compress it by 0.10%?

Surface Areas & Volumes

The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. The capacity of the bucket is

(A) 32.7 litres (B) 33.7 litres (C) 34.7 litres (D) 31.7 litres

Surface Areas & Volumes

During conversion of a solid from one shape to another, the volume of the new shape will

(A)  increase (B)  decrease  (C) remain unaltered (D) be doubled

Mechanical Properties Of Solids

Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 10⁶ Pa.

Surface Areas & Volumes

A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter

(A)  r cm (B) 2r cm (C) h cm (D) 2h cm

Surface Areas & Volumes

If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is

(A)  4πr² (B)  6πr² (C)  3πr² (D)  8πr²

Surface Areas & Volumes

A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is

(A)  0.36 cm³ (B) 0.35 cm³ (C)  0.34 cm³ (D) 0.33 cm³

Mechanical Properties Of Solids

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Surface Areas & Volumes

The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is

(A) 4950 cm² (B) 4951 cm² (C) 4952 cm² (D) 4953 cm²