Question 1 :
The volume of a right circular cone is 9856 $cm^3$ . If the diameter of the base is 28 cm, find slant height of the cone .

Question 2 :
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

Question 3 :
Find the volume of a sphere whose radius is 0.63 m.

Question 4 :
In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system.Assume $\pi$ =$\frac{22}{7}$.

Question 5 :
The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.

Question 6 :
Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm .

Question 7 :
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height ?

Question 8 :
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 9 :
A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube ?

Question 10 :
State true or false: The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.

Question 11 :
Find the radius of a sphere whose surface area is 154 $cm^2$.

Question 12 :
If we cut out many of the plane figures and stack them up in a vertical pile is called ______

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23ef59b460d7261f573.jpeg' /> The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in the above image. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per $cm^2$ and black paint costs 5 paise per $cm^2$ .

Question 14 :
State true or false: Total surface area of hemisphere is $4\pi r^{2}$.

Question 15 :
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per $m^3$.