Chapter 13 – Surface Areas and Volumes
A building is in the form of cylinder surmounted by a hemispherical dome. The base diameter of the dome is equal to 3/2 of the total height of the building. Find the height of the building. if it contains 67 21 /1 m^3 of air.
26
Nov
A building is in the form of cylinder surmounted by a hemispherical dome. The base diameter of the dome is equal to 3/2 of the total height of the building. Find the height of the building. if it contains 67 21 /1 m^3 of air. A Funnel is the combination of November 26, 2020 Category: [...]
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and the diameter of the base is 8 cm. Determine the volume of the toy. If a cube circumscribes the toy, then find the difference of the volumes of cube and the toy. Also, find the total surface area of the toy.
26
Nov
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and the diameter of the base is 8 cm. Determine the volume of the toy. If a cube circumscribes the toy, then find the difference of the volumes of cube and [...]
A bucket is in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the capacity and surface area of the bucket. Also find the cost of milk which can completely fill the container at the rete of Rs.25 per litre .
26
Nov
A bucket is in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the capacity and surface area of the bucket. Also find the cost of milk which can completely fill the container at the rete [...]
Three cubes of metal whose edges are in the ratio 3:4:5 are melted and formed into a single cube whose diagonal is 12 root3 cm. Find the edges of three cubes.
26
Nov
Three cubes of metal whose edges are in the ratio 3:4:5 are melted and formed into a single cube whose diagonal is 12 root3 cm. Find the edges of three cubes. Three cubes of metal whose edges are in the ratio 3:4:5 are melted and formed into a single cube whose diagonal is 12 root3 [...]
A cone of radius 4 cm is divided into two parts by drawing a plane through the midpoint of its axis and parallel to its base, compare the volume of the two parts.
26
Nov
A cone of radius 4 cm is divided into two parts by drawing a plane through the midpoint of its axis and parallel to its base, compare the volume of the two parts. A cone of radius 4 cm is divided into two parts by drawing a plane through the midpoint of its axis and [...]
A canal is 300 cm wide and 120 cm deep, the water in the canal is flowing with a speed of 20 km/h. How much area will it irrigate in 20 min, if 8 cm of standing water is desired?
26
Nov
A canal is 300 cm wide and 120 cm deep, the water in the canal is flowing with a speed of 20 km/h. How much area will it irrigate in 20 min, if 8 cm of standing water is desired? A canal is 300 cm wide and 120 cm deep if 8 cm of standing [...]
A solid metallic sphere of radius 10.5cm is melted and thus recast into small cones, each of radius 3.5cm and height 3cm. Find the number of cones so formed.
26
Nov
A solid metallic sphere of radius 10.5cm is melted and thus recast into small cones, each of radius 3.5cm and height 3cm. Find the number of cones so formed. A solid metallic sphere of radius 10.5cm is melted and thus recast into small cones each of radius 3.5cm and height 3cm. Find the number of [...]
A cone of maximum size is carved out from a cube of edge 14 cm. Find the surface area of the remaining solid after the cone is carved out.
26
Nov
A cone of maximum size is carved out from a cube of edge 14 cm. Find the surface area of the remaining solid after the cone is carved out. A cone of maximum size is carved out from a cube of edge 14 cm. Find the surface area of the remaining solid after the cone [...]
Actual capacity of a vessel as shown in figure is equal to the difference of volume of the cylinder and the volume of the hemisphere.
26
Nov
Actual capacity of a vessel as shown in figure is equal to the difference of volume of the cylinder and the volume of the hemisphere. Actual capacity of a vessel as shown in figure is equal to the difference of volume of the cylinder and the volume of the hemisphere. November 26, 2020 Category: Chapter [...]
Total surface area of the top shown in the figure is the sum of total surface area of hemisphere and the total surface area of a cone.
26
Nov
Total surface area of the top shown in the figure is the sum of total surface area of hemisphere and the total surface area of a cone. Total surface area of the top shown in the figure is the sum of total surface area of hemisphere and the total surface area of a cone. November [...]