Advertisements
Advertisements
рдкреНрд░рд╢реНрди
What length of tarpaulin 3 m wide will be required to make a conical tent of height 8 m and base radius 6 m? Assume that the extra length of material will be required for stitching margins and wastage in cutting is approximately 20 cm (Use it ЁЭЬЛ = 3.14)
рдЙрддреНрддрд░
Given that,
Height of conical tent (h) =8m.
Radius of base of tent (r) = 6m
Slant height (l)`=sqrt(r^2+h^2)=sqrt(8^2+6^2)=sqrt100=10m`
CSA of conical tent = `pirl=(3.14xx6xx10)m^2`
`=188.4m^2`
Let the length of tarpaulin sheet require be L
As 200m will be wasted, So effective length will be (L-0.2m)
Breadth of tarpaulin = 3m
Area of sheet = CSA of sheet
`(Lxx0.2mxx3)m=188.40m^2 `
`⇒ L-0.2m=62.8m `
⇒ L=63m
Thus, the length of the tarpaulin sheet will be =163m .
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm. What is its slant height? (Use it ЁЭЬЛ = 22/7).
A bus stop is barricated from the remaining part of the road, by using 50 hollow cones made of recycled card-board. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs. 12 per m2, what will be the cost of painting all these cones. (Use ЁЭЬЛ = 3.14 and √1.04 = 1.02)
A heap of wheat is in the form of a cone of diameter 9 m and height 3.5 m. Find its volume. How much canvas cloth is required to just cover the heap? (Use ЁЭЬЛ = 3.14).
A heap of wheat is in the form of a cone of diameter 16.8 m and height 3.5 m. Find its volume. How much cloth is required to just cover the heap?
The area of the base of a conical solid is 38.5 cm2 and its volume is 154 cm3. Find the curved surface area of the solid.
The horizontal cross-section of a water tank is in the shape of a rectangle with semi-circle at one end, as shown in the following figure. The water is 2.4 metres deep in the tank. Calculate the volume of water in the tank in gallons.
The heights of two cones are in the ratio 1:3 and their base radii are in the ratio 3:1. Find the ratio of their volumes.
The ratio of the base area and the curved surface of a conical tent is 40: 41. If the height is 18 m, Find the air capacity of the tent in terms of n.
Water flows at the rate of 10 m per minute through a cylindrical pipe 5 mm of diameter. How much time would it take to fill a conical vessel whose diameter at he surface is 40 cm and depth is 24 cm?
How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?
