MEDIUM

10th CBSE

IMPORTANT

Earn 100

A spherical glass vessel has a cylindrical neck $7 cm$ long and $4 cm$ in diameter. The diameter of the spherical part is $21 cm$ . If the quantity of water it can hold is $k {cm}^{3}$ , then find the value of $k$ . (Take $π = \frac{22}{7}$ )

50% studentsanswered this correctly

Important Questions on Surface Areas and Volumes

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 30

From a cubical piece of wood of side

21 cm

, a hemisphere is carved out in such a way that the diameter of the hemisphere is equal to the side of the cubical piece. Find the surface area and volume of the remaining piece. (Take

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 31

A cubical block of side

10 cm

is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Find the cost of painting the total surface area of the solid so formed, at the rate of

₹ 5

per

100 sq . cm

. (Use

π = 3.14

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 1

The dimensions of a metallic cuboid are

100 cm \times 80 cm \times 64 cm

. It is melted and recast into a cube. If the surface area of the cube is

k {cm}^{2}

, then find the value of

k

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 2

A cone of height

20 cm

and radius of base

5 cm

is made up of modelling clay. A child reshapes it in the form of a sphere. If the diameter of the sphere is

k cm

, then find the value of

k

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 3

Metallic spheres of radii

6 cm, 8 cm

and

10 cm

respectively are melted to form a single solid sphere. If the radius of the resulting sphere is

k cm

, then find the value of

k

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 4

A solid metal cone with radius of base

12 cm

and height

24 cm

is melted to form solid spherical balls of diameter

6 cm

each. Find the number of balls thus formed.

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 5

The radii of internal and external surfaces of a hollow spherical shell are

3 cm

and

5 cm

respectively. It is melted and recast into a solid cylinder of diameter

14 cm .

If the height of the cylinder is

\frac{k}{3} cm

, then find the value of

k

. (Take

π = \frac{22}{7}

)

MEDIUM

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 6

k

balls, each of radius

1 cm,

can be made from a solid sphere of lead of radius

8 cm

, then find the value of

k

A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. If the quantity of water it can hold is k cm3, then find the value of k. (Take π=227)

Important Questions on Surface Areas and Volumes

Learn and Prepare for any exam you want !

A spherical glass vessel has a cylindrical neck $7 cm$ long and $4 cm$ in diameter. The diameter of the spherical part is $21 cm$ . If the quantity of water it can hold is $k {cm}^{3}$ , then find the value of $k$ . (Take $π = \frac{22}{7}$ )