the radios of a concial tent is 7 metars hight 10 meters
Answers
Answer:
The radius of a conical tent is 7 meters and its height is 10 meters. Calculate the length of canvas used in making the tent if width of canvas is 2m.
Step-by-step explanation:
Step 1: Note down the given measurements
Radius of conical tent (r) = 7 meters
Height (h) = 10 meters.
Width of canvas = 2 meters
Step 2: Find the slant height of the cone
FORMULA: Slant height
l
2
=r
2
+h
2
l = \sqrt{r^2 + h^2}l=
r
2
+h
2
l = \sqrt{7^2 + 10^2}l=
7
2
+10
2
l = \sqrt{49 + 100}l=
49+100
l = \sqrt{149} = 12.2l=
149
=12.2 m
Step 3: Calculate the surface area of the conical tent
FORMULA: Surface area of the conical tent = \pi rlπrl
= \frac{22}{7} * 7 * 12.2 m^2
7
22
∗7∗12.2m
2
= 268.4 m^2268.4m
2
Step 4: Determine the length of canvas used in making the tent.
Area of the tent = 268.4 m^2268.4m
2
Length * width = 268.4 m^2268.4m
2
Length = \frac{268.4}{width}
width
268.4
Length = \frac{268.4}{2}
2
268.4
Length = 134.2 m