Question

a wooden piece is made in different shapes take length (1)= radius (r)= 2m calculate its volume as a: (a) sphere (b) cube (c) cylinder (d) pyramid​

Answer 1

Explanation:

Correct option is

B

Y is a mixture of sand, silt and appropriate amount of clay.

Sand has very little capacity to hold water as it has large particles and the nutrient amount is minimum.

Silt with medium particles in size retains a moderate amount of water.

Clay which has fine and small particles so it holds the good or maximum amount of water.

In X the water holding capacity is very less means it contains the highest amount of sand.

In Y a mixture of sand, silt and an appropriate amount of clay are present.

In Z clay is present in the highest amount so it holds the maximum amount of water.

So the correct option is 'In Y a mixture of sand, silt and an appropriate amount of clay'.

Answer 2

Answer:

Volume of the sphere, cube, cylinder and pyramid​ are 33.52 cu.m, 8 cu.m, 25.14cu.m and 2.67cu.m respectively.

Explanation:

Given the length of the wooden piece, $l=2m$

And the radius of the wooden piece, $r=2m$

(a)The volume of the sphere is given by

$\dfrac{4}{3} \pi r^{3}$

Substituting the value of radius, the volume of the sphere is

$\dfrac{4}{3} \times\dfrac{22}{7}\times 2^{3} =\dfrac{704}{21}=33.52cu.m$

Therefore, the volume of the given sphere is 33.52 cu.m.

(b)The volume of the cube is given by the cube of its side, $s^{3}$.

Substituting the value of length, the volume of the cube is

$2^{3} =8cu.m$

Therefore, the volume of the given cube is 8 cu.m.

(c)The volume of the cylinder is given by $\pi r^{2}h$.

Substituting the value of radius and considering the length as the height, the volume of the cylinder is

$\dfrac{22}{7} \times 2^{2}\times 2=\dfrac{176}{7} =25.14cu.m$

Therefore, the volume of the given cylinder is 25.14cu.m.

(d) Assuming the pyramid is a square pyramid and taking the height of the pyramid also equal to 2m.

The volume of the square pyramid is

$\dfrac{1}{3} b h$

where b is the base area of the pyramid.

Base is a square and area of square is given by the square of its side.

Therefore the volume of the pyramid is

$\dfrac{1}{3} s^{2} h=\dfrac{1}{3} \times 2^{2}\times 2=\dfrac{8}{3} =2.67cu.m$

Therefore, the volume of the given pyramid is 2.67cu.m.  

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