Question

0.18. In order to increase export of toys, a company decides to make an illuminated toy in the shape
of a right circular cone inserted in a sphere with illuminated bulbs on the curved surface of the
cone. The toy looks like as shown:
or
On the basis of above information, answer the following questions:
(i) If a cone of base radius x and height y is inscribed in sphere of radius R, then express base
radius x in terms of y and R
(a) = 4R2 - y2 (b) = R2-y? (C) x2 - 2xR + y = 0 (d) x2 = 2yR - y2
(in) What is the volume of a cone in terms of y alone ?
(w) x2yPR - y) (6) žu2y?R - y")
() (2YR – y?)
(a) (24R – y?)
3
2
(i) What should be the height of a cone so that the volume of cone inscribed is maximum ?
R
2R
units (b)
units
(c) R units
4R
3
3
units
3
(iv) Find the maximum volume of a cone inscribed in a sphere.
8.
cu. units
(b) 5 I
81
cu. units
32
(c)
cu units
(a) 2R
81
cu units
(u) What is the ratio of maximum volume of a cone to that of a sphere?
(a) 8:27
(b) 27:8
(c) 8:9
TER
TER
FIR
g.​

Answer 1

Answer:

1by2 isequalto ariyilla miss