Q. 44.4( 5 Votes )

Answer :

Height of the cone =4 cm

Radius of the cone = radius of hemisphere = 3 cm

Volume of toy = Volume of conical part + Volume of hemispherical part

Volume of cone

∴ Volume of conical part =

= 37.6 cm^{2}

Volume of hemisphere =

Volume of toy = 37.6 +56.52 = 94.12 cm^{2}

And total surface area of toy = Curved surface area of conical part + Curved surface area of hemispherical part

Curved surface area of cone , Where l =

= 3.14 × 3 ×

= 47.1 c

And curved surface area of hemisphere =2πr^{2}

= 2 × 3.14 × 3 × 3

= 56.52 cm^{2}

Then, total surface area of the toy = 47.1 + 56.52 = 103.62 cm^{2}

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSA tent of height 77 dm is in the form of a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs. 3.50 per m2 .NEXTA solid is in the form of a right circular cylinder, with a hemisphere at one end and a cone at the other end. The radius of the common base is 3.5 cm and the heights of the cylindrical and conical portions are 10 cm and 6 cm, respectively. Find the total surface area of the solid.

RELATED QUESTIONS :

The length of the diagonal of a cube is 6 √ 3 cm. Its total surface area is

RS Aggarwal - MathematicsThe diameter of a cylinder is 28 cm and its height is 20 cm. The total surface area of the cylinder is

RS Aggarwal - MathematicsThe curved surface area of a cylinder is 1760 cm^{2} and its base radius is 14 cm. The height of the cylinder is

The area of the base of a right circular cone is 154 cm^{2} and its height is 14cm. Its curved surface area is

The radius of the base of a cone is 5 cm and its height is 12 cm. Its curved surface area is

RS Aggarwal - MathematicsA circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is

RS Aggarwal - MathematicsThe volume of a hemisphere is 19404 cm^{3}. The total surface area of the hemisphere is