Class 10 Maths
Exercise 12.1
Question 3
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
Try This..
✒ A toy is in the shape of a cone and a cylinder. If the radius is the same and given height, calculate the total surface area.
✒ Find the surface area of a hemisphere and a cone having the same radius of 4 cm and height of the cone as 8 cm.
✒ A solid is in the shape of a hemisphere surmounted by a cone. Find the total surface area if the radius is 7 cm and the height of the cone is 9 cm.
❌ Common Mistakes
Confusing radius and height:▸ Always remember to subtract the hemisphere’s radius from the total height to get the cone’s height.Missing slant height (l):▸ Directly using the height in the CSA formula of the cone is a common mistake.Always calculate slant height using the Pythagoras theorem.Adding base areas mistakenly:▸ Since the cone is mounted on the hemisphere, their bases are joined—you don't count them in surface area.Rounding errors:▸ Use proper values (like π = 22/7) and only round at the final step to maintain accuracy.
Queries Solved:-
Class 10 Ex 12.1
Ex 12.1 Q3 Class 10
Class 10 Ex 12.1 Q3
Class 10 Chap 12 Ex 12.1 Q3
Class 10 Surface Areas And Volumes
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