Question Text
Question 1 :
Let the sphere and cone has the same height i.e. $16$ cmand thesame radius i.e. $8$ cm. Suppose $S$ and $C$ denote thevolume of sphere and cone respectively. Then find the volume of two objects and compare them.
Question 2 :
Choose the correct answer from the alternatives given.<br>Onefourth of a tank holds 135 liters of water. What part of the tank is full if itcontains 180 liters of water?
Question 3 :
The volume of a sphere is $\displaystyle 4000\pi { m }^{ 3 }$. Find its surface area. (use $\displaystyle \pi =\pi $.)
Question 4 :
Find the volume of the cylinder whose total surface area is 1628 $\displaystyle cm^{2}$ and the circumference of its cross-section is 44 cm.<br/>
Question 5 :
The total surface area of a solid hemisphere of diameter 2 cm is equal to
Question 6 :
The circumference of the base of a $10m$ high conical tent is $44m$. Calculate the length of the canvas used in making the tent if the width of the canvas is $2m$.
Question 7 :
The sum of the height and the radius of a solid cylinder is $35\ cm$and its total surface area is $3080\ cm^2$; find the volume of the cylinder.
Question 8 :
A shpherical balloon is pumped, at the constant rate of $3m^{3}/min$. The rate of increasing of its surface area at certain instant is found to be $5m^{2}/min$. At this instant its radius is equal to:
Question 9 :
Two spheres have their surface areas in the ratio $9 : 16$ Their volumes are in the ratio of
Question 10 :
A hemispherical bowl of internal diameter $36$ cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius $3$ cm and height $9$ cm. How many bottles are required to empty the bowl?