Question Text
Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23ef59b460d7261f572.jpeg' />
In the above image, a right circular cylinder just encloses a sphere of radius r. Find the ratio of the surface area of the sphere to the curved surface area of the cylinder.
Question 2 :
The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area of the cone (Use $\pi$ = 3.14).
Question 3 :
A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume of the solid so formed.
Question 4 :
The volume of a right circular cone is 9856 $cm^3$ . If the diameter of the base is 28 cm, find the curved surface area of the cone.
Question 5 :
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m.The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
Question 6 :
State true or false: If the edge of the cube is a, then Total surface area of cube = $6a^{2}$
Question 7 :
Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S′. Find the radius r′ of the new sphere.
Question 8 :
The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs 210 per 100 $m^2$.
Question 9 :
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.
Question 10 :
A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent.