Advertisements
Advertisements
Question
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 𝜋 = 3.14)
Solution
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
RELATED QUESTIONS
Find the curved surface area of a cone with base radius 5.25 cm and slant height 10cm.
The area of the curved surface of a cone is 60 cm2. If the slant height of the cone be 8 cm, find the radius of the base?
The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surfaces.
The ratio of volumes of two cones is 4 : 5 and the ratio of the radii of their bases is 2:3. Find the ratio of their vertical heights.
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 𝜋 = 3.14).
The curved surface area of a cone is 12320 cm2. If the radius of its base is 56 cm, find its height.
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 internal and external diameter of a hollow hemispherical vessel are 21 cm and 28 cm respectively. Find :
- internal curved surface area,
- external curved surface area,
- total surface area,
- volume of material of the vessel.
A hollow metallic cylindrical tube has an internal radius of 3.5 cm and height 21 cm. The thickness of the metal tube is 0.5 cm. The tube is melted and cast into a right circular cone of height 7 cm. Find the radius of the cone, correct to one decimal place.
The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find: total surface area.
