Q. 135.0( 5 Votes )

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.

Answer :


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 CylindersSurface Area and Volume of Right Circular CylindersSurface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of SpheresSurface Area and Volume of SpheresSurface Area and Volume of Spheres40 mins
Surface Area and Volume of Right Circular ConeSurface Area and Volume of Right Circular ConeSurface Area and Volume of Right Circular Cone37 mins
R D Sharma | Surface Area and VolumesR D Sharma | Surface Area and VolumesR D Sharma | Surface Area and Volumes39 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes43 mins
Quiz | MensurationQuiz | MensurationQuiz | Mensuration42 mins
Quiz | Surface Area & VolumesQuiz | Surface Area & VolumesQuiz | Surface Area & Volumes49 mins
RD Sharma | Surface areas and volumes of Cube & CuboidRD Sharma | Surface areas and volumes of Cube & CuboidRD Sharma | Surface areas and volumes of Cube & Cuboid33 mins
10 Important Questions of Surface Area and Volume10 Important Questions of Surface Area and Volume10 Important Questions of Surface Area and Volume51 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | 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
caricature
view all courses