Geometry” Earth-measuring" is an part of the mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences. Initially a body of the practical knowledge concerning lengths, areas, and volumes. And now we can see about the problems in geometry area and volume.
Geometry area and volume problem 1:
Pro 1 :Find the volume of cylinder with the radius 8 cm and the height 12 cm.
Solution:We can find the volume of an cylinder by using the following formula:
Volume of cylinder V=πr2h
Substitute the values of r and h into the above formula. Than, we get
V=π*82*12
=3.14*64*12
=2411.52 cm3
Pro 2 :Find the volume of sphere with the radius is 12 cm.
Solution:We can find the volume of the sphere by using the following formula
Volume of sphere V= (4/3) πr3
Substitute the value of radius into the above formula. Then we get,
V= (4/3) *3.14*123
= 1.333*3.14*144
= 602.72 cm3
Ans: 602.72 cm3
Problem 3:Find the amount of pyramid with the base 8.2 mt and height 10.2 mt.
Solution:We can find the volume of the pyramid by using the following formula
Volume of pyramid V= (1/3) b h
Substitute the values of the base and height into the above formula. Then we get,
V= (1/3)*8.2*10.2
=0.333*8.2*10.2
=27.8521 mt3
Ans: 27.8521 mt3
Geometry - Find the volume of shapes when area is given
Find the volume of the right prism whose area of the base is 550 cm2 and height is 38cm
Solution:Given that area of the base, A = 550 cm2 and height (h) of the prism = 38 cm
Volume of the right prism = area of the base * height cu.units
= A * h
= 20900
Volume of right prism = 20900 cm3
Find the volume of the right prism whose area of the base is 450 cm2 and height is 34cm
Solution:Given that area of the base, A = 450 cm2 and height (h) of the prism = 34 cm
Volume of the right prism = area of the base * height cu.units
= A * h
= 15300