Question

A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of
the base of the cone is lo cm and its height is 15 cm. Find the cost of painting the toy
at 7 per 100 cm

Answer 1

Answer:

200

Step-by-step explanation:

Mark this answer as brainlyeast please please

Answer 2

Given:

Length of the cone = 15cm

Diameter of the cone base and hemisphere = 16cm.

Find:

Cost of painting the toy  at 7 per 100 cm

Solution:

radius of the cone base and hemisphere = 16/2 = 8cm

The slant height of the cone l = √ r²+ h²

=> l = √r² + h²

=> √8² + 15²

=> √64 + 225

=> √289

=> 17cm

Now,

Total surface area = lateral surface area of the cone + surface area of the hemisphere surface area

=> πrl + 2πr²

=> 22/7 × 8 × 17 + 2 × 22/7 × 8²

=> 2992/7 + 2816/7

=> 427.42 + 402.28

=> 829.71cm²

So,

The total surface area of the toy is 829.71cm²

Now,

The rate of painting the toy = Rs 7 per 100cm²

=> Rs 7/100cm²

So,

The cost of painting the = total surface area × rate of painting

=> 829.17 × 7/100

=> 58.08

Hence, the cost of painting the toy is Rs 58.08.

I hope it will help you.

Regards.