Advertisements
Advertisements
प्रश्न
A hemispherical bowl of internal diameter 30 cm is full of a liquid. This liquid is poured into cylindrical bottles of diameter 5 cm and height 6 cm each. How many bottles are required?
उत्तर
Radius of hemispherical ball`=30/2= 15 "cm"`
Volume of hemispherical bowl`=2/3pi"r"^3`
`=(2/3xx15xx15xx15)"cm"^3`
Radius of each`=5/2 "cm"`
Height of each bottle = 6 cm
`= "volume of each bottle =πr2h `
`=(pixx5/2xx5/2xx6)"cm"^3`
`=(2xxpixx15xx15xx2)/(3xxpixx5xx5xx6)`
=60
APPEARS IN
संबंधित प्रश्न
How many balls each of radius 1cm can be made from a solid sphere of lead of radius
8cm?
A copper rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness. Find thickness of wire?
A hollow sphere of external and internal diameters 8 cm and 4 cm, respectively is melted into a solid cone of base diameter 8 cm. Find the height of the cone.
A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filling ice-cream cones of radius 2 cm and height 7 cm up to the brim. How many children will get the ice-cream cones?
How many bricks, each measuring (25 cm × 11.25 cm × 6 cm), will be required to construct a wall (8 m × 6 m × 22.5 cm)?
Match the following columns:
Column I | Column II |
(a) A solid metallic sphere of radius 8 cm is melted and the material is used to make solid right cones with height 4 cm and base radius of 8 cm. How many cones are formed? | (p) 18 |
(b) A 20-m-deep well with diameter 14 m is dug up and the earth from digging is evenly spread out to form a platform 44 m by 14 m. The height of the platform is ...........m. |
(q) 8 |
(c) A sphere of radius 6 cm is melted and recast in the shape of a cylinder of radius 4 cm. Then, the height of the cylinder is ......... cm. |
(r) 16 : 9 |
(d) The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is ....... . |
(s) 5 |
The radius of a solid right circular cylinder increases by 20% and its height decreases by 20%. Find the percentage change in its volume.
The boundary of the shaded region in the given diagram consists of three semicircular areas, the smaller ones being equal and it’s diameter 5 cm, if the diameter of the larger one is 10 cm,
calculate:
(i) The length of the boundary,
(ii) The area of the shaded region. (Take π = 3.14)
The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r) : r is ______.
How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11cm × 12cm?