Question

find the length of the canvas 1.25m wide required to build a conical tent of base radius 7m and height 24 m

Answer 1

to build a conical tent we need to cover the curved surface area of the conical shape.

$Curved \: surface\:area \: of \: a \: cone = \pi \: rl$
to get the slant height we apply Pythagoras theorem
${l}^{2} = {h}^{2} + {r}^{2} \\ = > {l}^{2} = {24}^{2} + {7}^{2} \\ = > l = 25cm$
area of canvas required = curved surface area of cone
$1.25 \times h \: = 22 \div 7 \times 7 \times 25 \\ = > h = 440cm$

Answer 2

Answer:

The length of length of canvas is 440

Step-by-step explanation:

Given the width of canvas 1.25 m required to build a conical tent of base radius 7 m and height 24 m.

we have to find the length of canvas.

Let the length of canvas is x m

The slant height of conical tent can be calculated as

$l^2=r^2+h^2$

$l^2=7^2+24^2$

$l^2=49+576=625$

$l=25$

Now, according to given question

Area of canvas=Area of conical tent

$L\times width=\pi rl$

$x\times 1.25=\frac{22}{7}\times 7\times 25$

$x=\frac{22}{7}\times 7\times 25\times \frac{1}{1.25}$

$x=440$

Hence, the length of length of canvas is 440