Tiwari Academy Discussion

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

Damyanti

Asked: October 29, 2020In: Class 10

How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 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 13.3 Page No:251 Questions No:6

Damyanti

Asked: October 29, 2020In: Class 10

A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.

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:252 Questions No:7

Damyanti

Asked: October 29, 2020In: Class 10

Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?

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:252 Questions No:8

Damyanti

Asked: October 29, 2020In: Class 10

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?

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:252 Questions No:9

Rohan Duaby

Asked: October 29, 2020In: Class 10

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.

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:2

Rohan Duaby

Asked: October 29, 2020In: Class 10

A fez, the cap used by the Turks, is shaped like the frustum of a cone If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.

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:3

Rohan Duaby

Asked: October 29, 2020In: Class 10

A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of ` 20 per litre. Also find the cost of metal sheet used to make the container, if it costs ` 8 per 100 cm2. (Take 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 13.4 Page No:257 Questions No:4

Rohan Duaby

Asked: October 29, 2020In: Class 10

A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/6 cm find the length of the wire.

NCERT Solutions for Class 10 Maths 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:5

Rohan Duaby

Asked: October 29, 2020In: Class 10

A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3.

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 13.5 Page No:258 Questions No:1

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.

How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?

A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.

Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.

A fez, the cap used by the Turks, is shaped like the frustum of a cone If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.

A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/6 cm find the length of the wire.

A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3.

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