Advertisements
Advertisements
प्रश्न
The model of a building is constructed with the scale factor 1 : 30.
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model.
Advertisements
उत्तर
(i) If the scale factor is 1 : 30°, then actual height will be 30 times the height of the model.
∴ Actual height = 80cm × 30cm
= 2400cm
Actual height = 24 m
(ii) Now, actual volume of a tank will be (30)3 times the volume of a tank in the model.
∴ Volume of tank in model × (30)3 = Actual volume of a tank
Volume of tank in the model = `((27))/((30)^3 ) "m"^3`
`= (27 xx 10^6) /(30 xx 30xx 30 ) " cm"^3`
` = 1000" cm"^3`
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of radius 10.5 cm.
`["Assume "pi=22/7]`
Eight metallic spheres; each of radius 2 mm, are melted and cast into a single sphere. Calculate the radius of the new sphere.
Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm.
A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is
Find the length of the wire of diameter 4 m that can be drawn from a solid sphere of radius 9 m.
Find the radius of the sphere whose surface area is equal to its volume .
Find the volume and surface area of a sphere of diameter 21 cm.
The radius of two spheres are in the ratio of 1 : 3. Find the ratio between their volume.
