Q. 74.4( 284 Votes )

# A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m^{2}. (Note that the base of the tent will not be covered with canvas)

Answer :

**Given:**

Height (*h*) of the cylindrical part = 2.1 m

Diameter of the cylindrical part = 4 m

Radius of the cylindrical part = 2 m

Slant height (*l*) = 2.8 m**Solution:**

We know for a cone,

Area of canvas used = CSA of conical part + CSA of cylindrical part

= πrl + 2πrh

=( π × 2 × 2.8 )+( 2π × 2 × 2.1)

= 2π [2.8 + (2 × 2.1)]

= 2π [2.8 + 4.2]

= 2 × × 7

= 44 m^{2}

Cost of 1 m^{2} canvas = Rs 500

Cost of 44 m^{2} canvas = 44 × 500

= Rs 22000

Rate this question :

How useful is this solution?

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

PREVIOUSA medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig. 13.10). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
NEXTFrom a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2

Related Videos

Surface Area and Volumes43 mins

RD Sharma | Imp Concepts : Surface Area And Volumes43 mins

RD Sharma | Surface Area And Volumes43 mins

IMP Formula's and Qs For Surface Area and Volumes45 mins

RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins

Quiz | Surface Area and Volumes42 mins

Surface Area and Volume49 mins

Areas Related to Circle36 mins

Quiz | Areas Related to Circles43 mins

Foundation | Let's Understand Some High Level Concepts41 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation