# A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 16 cm, and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per 100 cm2. Concept Used: Surface Area of Hemisphere = 2πr2

Curved Surface Area of cone = πrl

Lateral length of the cone = √(h2 + r2)

Where, r = radius of hemisphere and cone, and l = slant height of the cone.

Given:

The radius of the hemisphere = 8 cm

Height of the cone = 15 cm

Explanation:

Let us find the lateral length of cone first,

Lateral length of the cone = √(h2 + r2) = √(152 + 82) = 17 cm

The total curved surface area of the toy = 2πr2 + πrl

The total curved surface area of the toy The total curved surface area of the toy = 829.714 cm2

Cost of painting the toy at Rs. 7 per 100 cm2 = Rs. 58.08

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Surface Area and Volume of Right Circular Cylinders42 mins  Surface Area and Volume of Spheres40 mins  Surface Area and Volume of Right Circular Cone37 mins  R D Sharma | Surface Area and Volumes39 mins  Quiz | Surface Area and Volumes43 mins  Quiz | Mensuration42 mins  Quiz | Surface Area & Volumes49 mins  RD Sharma | Surface areas and volumes of Cube & Cuboid33 mins  10 Important Questions of Surface Area and Volume51 mins  Quiz | Surface Area and Volumes43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 