Geometry Test No. 1
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OMTEX CLASSES 1. Find the quantity of water, in litres, contained in a auboidal pit with length 7m, breadth 5m, and depth 3.6m. 2. The height of a cylinder is 12 cm and the radius is 5 cm. Find the curved surface area. 3. A hollow hemisphere of radius 50 cm is painted from inner side at the rate of 10 paise per cm2. Find the expenditure. 4. A cylindrical hole of diameter 30 cm is bored through a cubical wooden block with side 1 metere. Find the volume of the object so formed. 5. A cylindrical ice – cream pot of radius 20 cm and height 60 cm is filled completely with ice – cream. It was packed in ready to sale cones of radius 2 cm and height 10 cm. How many such cones can be filled?
OMTEX CLASSES
1. A wall of thickness 10 cm, height 3 m and length 4 m is to be built using bricks of dimensions 24 × 10 × 8 in cm. Estimate the number of bricks to build the wall, neglecting the gaps for cement. 2. 5 rupee coins were made by melting a solid cuboidal block of metal with dimensions 16 × 11 × 10 in cm. How many coins of thickness 2 mm and diameter 2cm can be made? 3. Find the total surface area of a cone with radius = 24 cm and height 10 cm. 4. The surface area of a sphere is 314 sq.cm. Find the volume of the sphere. 5. The inner dimensions of a deep freezer in metre are 1.2 × 0.8 × 𝑥. Find x, if the capacity of the freezer is 768 litres.
OMTEX CLASSES
1. Find the quantity of water, in litres, contained in a auboidal pit with length 7m, breadth 5m, and depth 3.6m. 2. The height of a cylinder is 12 cm and the radius is 5 cm. Find the curved surface area. 3. A hollow hemisphere of radius 50 cm is painted from inner side at the rate of 10 paise per cm2. Find the expenditure. 4. A cylindrical hole of diameter 30 cm is bored through a cubical wooden block with side 1 metere. Find the volume of the object so formed. 5. A cylindrical ice – cream pot of radius 20 cm and height 60 cm is filled completely with ice – cream. It was packed in ready to sale cones of radius 2 cm and height 10 cm. How many such cones can be filled?
OMTEX CLASSES
1. A wall of thickness 10 cm, height 3 m and length 4 m is to be built using bricks of dimensions 24 × 10 × 8 in cm. Estimate the number of bricks to build the wall, neglecting the gaps for cement. 2. 5 rupee coins were made by melting a solid cuboidal block of metal with dimensions 16 × 11 × 10 in cm. How many coins of thickness 2 mm and diameter 2cm can be made? 3. Find the total surface area of a cone with radius = 24 cm and height 10 cm. 4. The surface area of a sphere is 314 sq.cm. Find the volume of the sphere. 5. The inner dimensions of a deep freezer in metre are 1.2 × 0.8 × 𝑥. Find x, if the capacity of the freezer is 768 litres.
OMTEX CLASSES
1. Find the quantity of water, in litres, contained in a auboidal pit with length 7m, breadth 5m, and depth 3.6m. 2. The height of a cylinder is 12 cm and the radius is 5 cm. Find the curved surface area. 3. A hollow hemisphere of radius 50 cm is painted from inner side at the rate of 10 paise per cm2. Find the expenditure. 4. A cylindrical hole of diameter 30 cm is bored through a cubical wooden block with side 1 metere. Find the volume of the object so formed. 5. A cylindrical ice – cream pot of radius 20 cm and height 60 cm is filled completely with ice – cream. It was packed in ready to sale cones of radius 2 cm and height 10 cm. How many such cones can be filled?
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