Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?
Mensuration
2 Likes

Question

Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

KnowledgeBoat · Accepted Answer

Radius of cylindrical pipe, r = = 0.25 cm Given, water flows at the rate of 10 m per minute. Length of the cylindrical portion, h = 10 m = 10 × 100 = 1000 cm Height of the conical portion, H = 24 cm Radius of conical pipe, R = = 20 cm Volume of water that flows in 1 min = πr2h Volume of the conical vessel = πR2H Required time = = 51 min 12 sec. Hence, time required to fill a conical vessel is 51 min 12 sec.

Mathematics

Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

Mensuration

Related Questions

A circus tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 2.5 m wide to make the required tent.

An iron pillar consists of a cylindrical portion, 2.8 m high and 20 cm in diameter and a cone 42 cm high is surrounding it. Find the weight of the pillar, given that 1 cm³ of iron weighs 7.5 g.

A conical tent is to accommodate 11 persons. Each person must have 4 m² of the space on the ground and 20m³ of air to breathe. Find the height of the cone.

A conical tent is to accommodate 77 persons. Each person must have 16 m³ of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.

Mathematics

Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

Mensuration

Related Questions

A circus tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 2.5 m wide to make the required tent.

An iron pillar consists of a cylindrical portion, 2.8 m high and 20 cm in diameter and a cone 42 cm high is surrounding it. Find the weight of the pillar, given that 1 cm3 of iron weighs 7.5 g.

A conical tent is to accommodate 11 persons. Each person must have 4 m2 of the space on the ground and 20m3 of air to breathe. Find the height of the cone.

A conical tent is to accommodate 77 persons. Each person must have 16 m3 of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.

An iron pillar consists of a cylindrical portion, 2.8 m high and 20 cm in diameter and a cone 42 cm high is surrounding it. Find the weight of the pillar, given that 1 cm³ of iron weighs 7.5 g.

A conical tent is to accommodate 11 persons. Each person must have 4 m² of the space on the ground and 20m³ of air to breathe. Find the height of the cone.

A conical tent is to accommodate 77 persons. Each person must have 16 m³ of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.