Question 11 Mark
If a marble of radius 2.1 cm is put into a cylindrical cup, full of water, of radius 5 cm and height 6 cm, then the volume of water that flows out of the cup is ____________ .
Answer
View full question & answer→$38.8 cm^3$
Questions
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18 questions · timed · auto-graded
Question 21 Mark
A solid cylinder of radius rand height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is ____________ .
Answer
View full question & answer→$2 \pi r(r+2 h)$
Question 31 Mark
A sloid ball is exactly fitted inside the cuboidal box of side a. The volume of the ball is ____________ .
Answer
View full question & answer→$\frac{\pi}{6} a^3$
Question 41 Mark
If a solid cone of base radius r and height h is placed over a solid cylinder having same base radius and height as that of the cone, then the curved surface area of the solid so formed is ____________ .
Answer
View full question & answer→$\pi r\left\{\sqrt{h^2+r^2}+2 h\right\}$
Question 51 Mark
A shuttle cock used for playing badminton has the shape of the combination of ____________ and ____________ .
Answer
View full question & answer→frustum of a cone, hemisphere
Question 61 Mark
The shape of a gilli, in the gilli-danda game, is a combination of ____________ and a ____________ .
Answer
View full question & answer→two, cylinder
Question 71 Mark
A plumbline (sahul) is the combination of a ____________ and a ____________ .
Answer
View full question & answer→hemisphere, cone
Question 81 Mark
A surahi is the combination of a ____________ and a ____________ .
Answer
View full question & answer→sphere, cylinder
Question 91 Mark
A cylindrical pencil sharpened at one edge is the combination of a ____________ and a ____________ .
Answer
View full question & answer→cone, cylinder
Question 101 Mark
A funnel is the combination of ____________ of a cone and ____________ .
Answer
View full question & answer→a frustum, a cylinder
Question 111 Mark
The sum of the length, breadth and height of a cuboid is $5 \sqrt{3}$ cm and length of its diagonal is $3 \sqrt{5}$ cm, then its total surface area is ____________ .
Answer
View full question & answer→$30 cm^2$
Question 121 Mark
The volume of a cuboid is $24 \sqrt{42} cm^3$. Its length is $5 \sqrt{2} cm$, breadth and height are in the ratio$\sqrt{3}: \sqrt{7}$. The height of the cuboid is ____________ .
Answer
View full question & answer→$4 \sqrt{7}$ cm
Question 131 Mark
The volume of the greatest right circular cone, which can be cut from a cube of side 4 cm is ____________ .
Answer
View full question & answer→$\frac{16 \pi}{3} cm^3$
Question 141 Mark
Answer
View full question & answer→$\frac{1}{2}(\pi-2) r^2$
Question 151 Mark
Three solid cubes have a face diagonal of$4 \sqrt{2}$ cm each. Three other solid cubes have a face diagonal of $8 \sqrt{2}$ cm each. All the cubes are melted together to form a cube. The side of the cube so formed is length ____________ .
Answer
View full question & answer→12 cm
Question 161 Mark
The capacity of a cylinderical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. is ____________ .
Answer
View full question & answer→$\frac{1}{3}(3 h-2 r) \pi r^2$
Question 171 Mark
Two identical solid hemispheres of equal base radius 7 cm are stuck together along their bases. The total surface area of the combination is ____________ .
Answer
View full question & answer→$4 \pi r^2 cm^2$
Question 181 Mark
Two identical solid cubes of side a are joined end to end. The total surface area of the resulting cuboid is ____________ .
Answer
View full question & answer→$10 a^2$