Q. 45.0( 1 Vote )

# A tent is in the shape of a right circular cylinder surmounted by a cone. The total height and the diameter of the base are 13.5 m and 28 m. If the height of the cylindrical portion is 3 m, find the total surface area of the tent.

Answer :

Given, Total height = 13.5 m

Diameter of the base = 28 m

Height of the cylindrical portion = 3 m

Height of cone = 13.5-3

= 10.5 m

Radius of the base =

= 14 m

Lateral surface area of cylinder = 2rh

= 2143

= 84 m^{2}

Lateral surface area of cone = rl ,

where l =

⇒ l =

⇒ l =

⇒ l =

⇒ l = 17.5

So, Lateral surface area of cone = 1417.5

= 245 m^{2}

Total surface area = Lateral surface area of cylinder+ Lateral surface area of cone

Total surface area = 84 +245

= 329

= 329

= 1034 m^{2}

Total surface area of the tent is 1034 m^{2}.

Rate this question :

Radii of two solid hemispheres are in the ratio 3 : 5. Find the ratio of their curved surface areas and the ratio of their total surface areas.

Tamil Nadu Board - MathIf the curved surface area of a solid hemisphere is 2772 sq.cm, then find its total surface area.

Tamil Nadu Board - MathFind the curved surface area and total surface area of a hollow hemisphere whose outer and inner radii are 4.2 cm and 2.1 cm respectively.

Tamil Nadu Board - MathIf the vertical angle and the radius of a right circular cone are 60° and 15 cm respectively, then find its height and slant height.

Tamil Nadu Board - MathThe radius and height of a right circular solid cone are 7 cm and 24 cm respectively. Find its curved surface area and total surface area.

Tamil Nadu Board - MathIf the circumference of the base of a solid right circular cone is 236 cm and its slant height is 12 cm, find its curved surface area.

Tamil Nadu Board - MathThe external diameter of a cylindrical shaped iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1cm, find the total surface area of the pipe.

Tamil Nadu Board - MathThe central angle and radius of a sector of a circular disc are 180° and 21 cm respectively. If the edges of the sector are joined together to make a hollow cone, then find the radius of the cone.

Tamil Nadu Board - Math