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Nataly [62]
3 years ago
5

the area of asquare field is 2.25 hectares.find its perimeter in metres if hectare is qual to 10000square metres​

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

Perimeter of the square field is 600 meters.

Step-by-step explanation:

Given:

Area of a square field = 2.25 hectares

1 hectare = 10000 m²

∴2.25 hectares =2.25\times10000 = 22500 m²

Now, let each side length of the square field be a meters.

∴ Area = a^{2}

⇒ 22500 = a^{2}

⇒ a=\sqrt{22500}=150 m

Now, perimeter of a square is given as, P = 4a.

Here, a=150 m.

∴ P=4\times150=600 m

Hence, the perimeter of the square field is 600 meters.

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
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Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

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V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

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