Advertisements
Advertisements
प्रश्न
From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the volume of remaining solid
Advertisements
उत्तर
Dimensions of rectangular solids = `=(42xx30xx20) "cm"`
volume=`(42xx30xx20)=25200 "cm"^3 `
Radius of conical cavity (r) =7 cm
height (h)=24 cm
Volume of cone=`1/3pir^2h`
=`1/3xx22/7xx7xx7xx24`
`= 1232 "cm"^3`
Volume of remaining solid =` (25200-1232)=23968 "cm"^3`
Radius of conical cavity (r) =7 cm
height (h) = 24 cm
Volume of cone = `1/3 pi "r"^2"h"`
`= 1/3 xx 22/7 xx 7 xx 7 xx 24`
= 1232 cm3
Volume of remaining solid = (25200 - 1232) = 23968 cm3
संबंधित प्रश्न
Find the surface area of a sphere of diameter 21 cm.
`["Assume "pi=22/7]`
The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.
Find the surface area of a sphere of radius 14 cm.
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate :
- the radius of the solid sphere.
- the number of cones recast. [Take π = 3.14]
Mark the correct alternative in each of the following:
In a sphere the number of faces is
If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
9 cm
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
3.5 cm
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
