Advertisements
Advertisements
प्रश्न
How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm .
उत्तर
Diameter of the spherical lead shots = 4 cm
Edge length of the solid cube (a) = 44 cm.
Let n be the number of spherical lead shots made out of the solid cube.
\[n \times \text { Volume of the spherical lead shots = Volume of the solid cube }\]
\[ \Rightarrow \frac{\text { Volume of the solid cube }}{\text { Volume of the spherical lead shots }} = n\]
\[ \Rightarrow \frac{a^3}{\frac{4}{3} \pi r^3} = n\]
\[ \Rightarrow \frac{{44}^3}{\frac{4}{3}\pi \times \left( \frac{4}{2} \right)^3} = n\]
\[ \Rightarrow 2541 = n\]
Hence, 2541 spherical lead shots can be made
APPEARS IN
संबंधित प्रश्न
Metallic spheres of radii 6 cm, 8 cm, and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform. [Use Π = 22/7]
Water in canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. how much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?
Three cubes of a metal whose edges are in the ratios 3 : 4 : 5 are melted and converted into a single cube whose diagonal is \[12\sqrt{3}\]. Find the edges of the three cubes.
A right circular cylinder of radius r and height h (h = 2r) just encloses a sphere of diameter
A cylindrical bucket, 32 cm high and 18 cm of radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is ______.
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is 4πrh + 4πr2.
How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm.
A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are 6 cm and 12 cm, respectively. If the slant height of the conical portion is 5 cm, find the total surface area and volume of the rocket [Use π = 3.14].
