Forum

Surface Areas & Volumes

If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5cm and height 6 cm, then how much water flows out of the cylindrical cup?

(A) 38.8 cm3 (B) 55.4  cm3 (C) 19.4  cm3 (D) 471.4 cm3

08/11/2024

Mathematics

10th

Surface Areas & Volumes

A funnel (see Figure) is the combination of

(A) a cone and a cylinder (B) frustum of a cone and a cylinder (C) a hemisphere and a cylinder (D) a hemisphere and a cone

08/11/2024

Mathematics

10th

Area Related To Circles

Find the difference of the areas of a sector of angle 120° and its corresponding major sector of a circle of radius 21 cm.

08/11/2024

Mathematics

10th

Area Related To Circles

Find the difference of the areas of two segments of a circle formed by a chord of length 5 cm subtending an angle of 90° at the centre.

08/11/2024

Mathematics

10th

Area Related To Circles

Find the number of revolutions made by a circular wheel of area 1.54 m2 in rolling a distance of 176 m.

08/11/2024

Mathematics

10th

Area Related To Circles

Find the area of the shaded region given in Figure. 

08/11/2024

Mathematics

10th

Area Related To Circles

The  central  angles  of  two  sectors  of  circles  of  radii  7  cm  and  21  cm  are respectively  120°  and  40°.  Find  the  areas  of  the  two  sectors  as  well  as  the lengths of the corresponding arcs. What do you observe?

08/11/2024

Mathematics

10th

Gravitation

The planet Mars has two

moons, phobos and delmos. (i) phobos has

a period 7 hours, 39 minutes and an orbital

radius of 9.4 ×10³km. Calculate the mass

of mars. (ii) Assume that earth and mars

move in circular orbits around the sun,

with the martian orbit being 1.52 times

the orbital radius of the earth. What is

the length of the martian year in days ?

08/11/2024

Physics

11th (Science)

Area Related To Circles

Area of a sector of central angle 200° of a circle is 770 cm2. Find the length of the corresponding arc of this sector.

08/11/2024

Mathematics

10th

Area Related To Circles

The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6 : 05 a m and 6 : 40 a m.

08/11/2024

Mathematics

10th