Question Text
Question 1 :
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
Question 2 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?
Question 3 :
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.What is the area of the glass?
Question 4 :
The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.
Question 5 :
A shopkeeper has one spherical laddoo of radius 5cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made?
Question 6 :
Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions $25cm\times20cm\times5cm$ and the smaller of dimensions $15cm\times12cm\times5cm$. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 $cm^2$ , find the cost of cardboard required for supplying 250 boxes of each kind.
Question 7 :
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In the above image, a right circular cylinder just encloses a sphere of radius r. Find surface area of the sphere.
Question 8 :
Find the surface area of a sphere of diameter 14 cm.
Question 9 :
The paint in a certain container is sufficient to paint an area equal to 9.375 $m^2$ . How many bricks of dimensions $22.5cm\times10cm\times7.5cm$ can be painted out of this container?
Question 10 :
A cylindrical roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of 5500 $m^2$ . How many revolutions did it make?