Radius of the hemisphere and cone r = 2 cm.
Height of the cone h = 2 cm
As we know,
Volume of cone = 1/3 × πг2h= 1/3 × π × 22 x 2 = 1/3 × 8π
Volume of sphere = 2/3 × πr3= 2/3 × 8 π
Volume of solid = (1/3) × 8π + (2/3) × 8π = (3/3) × 8π = 8π
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90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishNine identical cubes, each with edge 3 cm, are joined in a straight line to form a cuboid. What is the total surface area (in cm²) of the resulting cuboid?
The curved surface area of a cylinder having radius 5 cm and height 23 cm is:
The surface area of a cube is 480 Find its volume.
The cost of polishing the total surface area of a solid cone at ₹ 0.50 per cm² is ₹ 5632, and the circumference of its base is 176 cm. What is the height of the cone? (Use π = 22/7)
A circle is inscribed in a triangle with sides 28 cm, 45 cm and 53 cm. What is the area of the triangle excluding the area of the circle? (Use π = 3.14)
The parallel sides of a trapezium are 48 cm and 20 cm. Its non-parallel sides are 26 cm and 30 cm. What is the area (in cm²) of the trapezium?
The curved surface area of a solid metallic right circular cylinder is 1792π cm² and its base radius is 32 cm. It is melted and recast into 42 solid spherical balls of equal radius. What is the surface area (in cm²) of a ball ?
Water flows out through a pipe, whose internal radius is 3 cm, at the rate of x cm per second into a cylindrical tank, the radius of whose base is 60 cm. If the level of water in the tank rises by 15 cm in 5 minutes, then the value of x is:
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