Advertisements
Advertisements
प्रश्न
A hemispherical bowl of internal radius 9 cm is full of liquid . The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm . How many bottles are needed to empty the bowl ?
उत्तर
The radius of the hemispherical bowl, R = 9 cm
Radius of the cylinderical bottles, r = 1.5 cm
Height of the bottles, h = 4 cm
Let the number of bottles required be n.
Volume of the hemispherical bowl = n × Volume of the cylinderical bottles
\[\frac{\text { Volume of the hemispherical Bowl}}{\text { Volume of the cylinderical bottles}} = n\]
\[ \Rightarrow \frac{\frac{2}{3} \pi R^3}{\pi r^2 h} = n\]
\[ \Rightarrow \frac{\frac{2}{3} \left( 9 \right)^3}{\left( 1 . 5 \right)^2 \left( 4 \right)} = n\]
\[ \Rightarrow 54 = n\]
Hence, the 54 bottles are required.
APPEARS IN
संबंधित प्रश्न
To fill a swimming pool two pipes are to be used. If the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. Find, how long it would take for each pipe to fill the pool separately, if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool.
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
The `3/4` th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.
A right angled triangle whose sides are 3 cm, 4 cm and 5 cm is revolved about the sides containing the right angle in two days. Find the difference in columes of the two cones so formed. Also, find their curved surfaces.
Water flows through a cylindrical pipe , whose inner radius is 1 cm , at the rate of 80 cm /sec in an empty cylindrical tank , the radius of whose base is 40 cm . What is the rise of water level in tank in half an hour ?
A spherical ball of iron has been melted and made into smaller balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?
If the volumes of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then write the ratio of their weights.
If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then find the slant height of the cone.
The slant height of the frustum of a cone is 4 cm and the perimeters (i.e. circumferences) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
A cylindrical pencil sharpened at one edge is the combination of ______.
