Question

A toy is in the form of a cylinder with hemispherical ends. If the whole length of the toy is 90 cm and its diameter is 42 cm, find the cost of painting the toy at the rate of 70 paise per sq cm.

Answer 1

We have,

The total height of the toy = 90 cm and

The radius of the toy, r = `42/2` = 21 cm

Also, the height of the cylinder, h = 90 – 42 = 48 cm

Now, the total surface area of the toy = CSA of cylinder + 2 × CSA of a hemispher

`= 2pirh + 2 xx 2pir^2`

`= 2pir(h + 2r)`

`= 2xx22/7xx21xx(48+2xx21)`

`= 44xx3xx(48+42)`

`=44xx3xx90`

= 11880 cm²  

So, the cost of painting the toy =`(11880xx70)/100 = Rs  8316`