Question

a solid toy is shape of cone mounted on a hemisphere the radius of hemisphere is 4.2 total height of toy isb10.2 find the total surface of toy

Answer 1

Given the radius of the hemisphere = 4.2cm.

          the height of the toy = 10.2.

height of the cone = 10.2 - 4.2

                                = 6 cm.

Radius of the cone = 4.2cm.

Total surface area of the toy = pirl + 2pir^2   ---- (1)

l = root r^2 + h^2 = root (4.2)^2 + (6)^2

                             = root 17.64 + 36

                             = 7.323.


On substituting in (1), we get

TSA = (22/7 * 4.2 * 7.323) + (2 * 22/7 * 4.2 * 4.2)

        = 96.66 + 110.88

        = 207.54.


Hope this helps!

Answer 2

given that,
the radius of hemisphere is 4.2
and total height of toys 10.2
than
the T.S.A. of toy = CSA of cone + CSA hemisphere
= PiRL + 2 Pi R R
=(22×.6×6.73)+(110.88)
=199.71cm×cm