Question

Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond? m There will be a circular patio with a diameter of 7 metres. Greg is going to put a tiled edge around the patio. What is the circumference of the patio? m Circumference of a circle = 2πr Use π = 3.14

Answer 1

Assuming the pond is rectangular in shape, therefore Volume = Width * Length * Depth
Width = Volume/(Length*Depth)
Width = 7.35/4.2*0.5 = 7.35/2.1 = 3.5 m

r= diameter / 2 = 7/2 = 3.5m
Circumference of the patio = 2*3.14*3.5= 21.98m

Answer 2

While building the new pond, the volume of the pond can be used to find the width of the pond and the circumference of the patio can be determined with the help of radius,.

Hence,

The width of the pond is 3.5 m.

The circumference of the patio is 21.98 m.

Given information:

The volume of pond $=73.5 \;\text{m}^3$

Length of the pond $= 4.2 \;\text{m}$

Depth of the pound $= 0.5 \;\text{m}$

Let, the width of the pond is $w$

Volume $V=l\times d\times w$

So, the width $w=\frac{v}{l\times d}$

On putting the values:

$w=\frac{7.35}{4.2\times 0.5}\\\\w=\frac{7.35}{2.1}\\w=3.5$

Hence , the width of the pond is 3.5 m.

Now,

The diameter of the circular patio $=7\;\text{m}$

So, the radius will be $3.5\;\text{m}$

putting the values in the equation the Circumference:

$C=2\tyimes \pi\times r\\C=2\times 3.14\times 3.5\\C=21.98$

Hence, the circumference of the patio is 21.98 m.

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