Mathematics
The difference between the outer and the inner curved surface areas of a hollow cylinder, 14 cm long, is 88 sq. cm. Find the outer and the inner radii of the cylinder, given that the volume of metal used is 176 cu. cm.
Related Questions
A sphere is placed in an inverted hollow conical vessel of base radius 5 cm and vertical height 12 cm. If the highest point of the sphere is at the level of the base of the cone, find the radius of the sphere. Show that the volume of the sphere and the conical vessel are as 40 : 81.
The surface area of a solid sphere is increased by 21% without changing its shape. Find the percentage increase in its :
(i) radius
(ii) volume
A wooden toy is in the shape of a cone mounted on a cylinder as shown alongside.
If the height of the cone is 24 cm, the total height of the toy is 60 cm and the radius of the base of the cone = twice the radius of the base of the cylinder = 10 cm; find the total surface area of the toy. [Take π = 3.14]
