What length of tarpaulin 4 m wide will be required to make a conical tent of height 8 m and base radius 6 m?
What length of tarpaulin 4 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.
Given that,
Height of conical tent (h) = 8 m
Radius of base of tent (r) = 6 m
Slant height (l)
(l) $=\sqrt{\mathrm{r}^{2}+\mathrm{h}^{2}}$
$=\sqrt{8^{2}+6^{2}}$
$=\sqrt{100}=\sqrt{10} \mathrm{~m}$
C.S.A of conical tent $=\pi r \mid$
$=(3.14 * 6 * 10) \mathrm{m}^{2}=188.4 \mathrm{~m}^{2}$
Let the length of tarpaulin sheet required be l
As 20 cm will wasted, so effective
Length will be (l - 0.2 m)
Breadth of tarpaulin = 3m
Area of sheet = C.S.A of sheet
$[1 * 0.2 * 3] \mathrm{m}=188.4 \mathrm{~m}^{2}=1-0.2 \mathrm{~m}=62.8 \mathrm{~m}$
Accounting extra for wastage:
⟹ l = 63 m
Thus the length of the tarpaulin sheet will be = 63 m
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,