SSC CGL 202271)A 35 cm high bucket in the form of a frustum is full of water. Radii of its lower and upper ends are 12 cm and 18 cm, respectively. If water from this bucket is poured in a cylindrical drum, whose base radius is 20 cm, then what will be the height of water (in cm) in the drum?
19.95
SSC CGL 202272)What is the difference in the volume (in cm3) of a sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (Use π = 22/7 )
924
SSC CGL 202273)If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.
3 ∶ 4
SSC CGL 202274)How many small solid spheres each of 5 mm radius can be made out of a metallic solid cone whose base has radius 21 cm and height 30 cm?
26460
SSC CGL 202275)A cylindrical vessel of diameter 32 cm is partially filled with water. A solid metallic sphere of radius 12 cm is dropped into it. What will be the increase in the level of water in the vessel (in cm)?
9
SSC CGL 202276)The curved surface area of a right circular cylinder is 616 cm2 and the area of its base is 38.5 cm2. What is the volume (in cm3) of the cylinder? (Take \(\pi = \frac{22}{7}\) )
1078
SSC CGL 202277)Let x cm2 be the surface area and y cm3 be the volume of a sphere such that y = 14x. What is the radius (in cm) of the sphere?
42
SSC CGL 202278)A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm2). (Use \(\pi = \frac{22}{7} \))
675\(\frac{3}{7}\)
SSC CGL 202279)The circumference of the base of a right circular cylinder is 62.8 cm and its volume is 8792 cm2 . What is the curved surface ( in cm2 ) of the cylinder? (Take π = 3.14 )
1758.4
SSC CGL 202280)A river 6 m deep and 35 m wide is flowing at the rate of 2.5 km/h, the amount of water that runs into the sea per minute is:
8750 m3