Maths 3 Marks Question

Radius of a sector of a circle is 7 cm. If measure of arc of the sector is –
(l) 30°
(ll) 210°
(lll) three right angles
Find the area of sector in each case.

The radii of ends of a frustum are 14 cm and 6 cm respectively and its height is 6 cm. Find its
i) Curved surface area
ii) Total surface area
iii) Volume

The area of a sector of a circle of 6 cm radius is 15π sq.cm. Find the measure of the arc and length of the arc corresponding to the sector.

The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.

The radius of a metallic sphere is 9 cm. It was melted to make a wire of diameter 4 mm. Find the length of the wire.

The diameter and length of a roller is 120 cm and 84 cm respectively. To level the ground, 200 rotations of the roller are required. Find the expenditure to level the ground at the rate of Rs. 10 per sq. m

Find the volume of a cone if the radius of its base is 1.5 cm and its perpendicular height is 5 cm.

Some plastic balls of radius 1 cm were melted and cast into a tube. The thickness, length and outer radius of the tube were 2 cm, 90 cm and 30 cm respectively. How many balls were melted to make the tube?

The radius of a circle with centre P is 10 cm. If chord AB of the circle substends a right angle at P, find areas of the minor segment and the major segment. (π = 3.14)

The radius of the circle is 3.5 cm and the area of sector is 3.85 sq cm. Find the measure of the arc of the circle.

The base radii of two right circular cones of the same height are in the ratio 2 : 3. Find ratio of their volumes.

In a clock, the minute hand is of length 14 cm. Find the area covered by the minute hand in 5 minutes.

Find the length of the arc of the circle of diametr 8.4 cm with area of the sector 18.48 cm². Also find measure of the arc.

Find the area of the sector of a circle of radius 6 cm and arc with length 15 cm.

A solid cube with edge 'l' was divided exactly into two equal halves. Find the ratio of the total surface area of the given cube and that of the cuboid formed.