Class 10

Ranbir Singh

Asked: October 29, 2020In: Class 10

A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.2 Page No:248 Questions No:5

Ranbir Singh

Asked: October 29, 2020In: Class 10

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.2 Page No:248 Questions No:7

Rohan Duaby

Asked: October 29, 2020In: Class 10

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.4 Page No:257 Questions No:1

Ranbir Singh

Asked: October 29, 2020In: Class 10

A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8g mass.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.2 Page No:248 Questions No:6

Ranbir Singh

Asked: October 29, 2020In: Class 10

A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π= 3.14.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.2 Page No:248 Questions No:8

Damyanti

Asked: October 29, 2020In: Class 10

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.3 Page No:251 Questions No:1

Damyanti

Asked: October 29, 2020In: Class 10

Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.3 Page No:251 Questions No:2

Damyanti

Asked: October 29, 2020In: Class 10

A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.3 Page No:251 Questions No:3

Damyanti

Asked: October 29, 2020In: Class 10

A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.3 Page No:251 Questions No:4

Damyanti

Asked: October 29, 2020In: Class 10

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

NCERT Solutions for Class 10 Maths Chapter 13 Important NCERT Questions Surface areas and Volumes, NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 13.3 Page No:251 Questions No:5

Category: Class 10

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8g mass.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.

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