A particular brand of talcum powder is available in two packs, a plastic can with a square base of side 5 cm and of height 14 cm ,or one with a circular base of radius 3.5 cm and of height of 12cm.which of them has greater capacity and by how much?
Answers
=140g
then , capacity of circular base talcum powder =22/7×3.5×3.5×12
=462g
the capacity of circular is greater than circular is 320g
Answer:
Given that,
A particular brand of talcum powder is available in two packs:
A plastic can with a square base of side 5 cm
and of height 14 cm
or
Other with a circular base of radius 3.5 cm and of height 12 cm.
Case:- 1 A plastic can with a square base of
side 5 cm and of height 14 cm
So, this figure is a cuboid with
Length, 1-5 cm
Breadth, b=5 cm
Height, h = 14 cm
So.
Volume Cubo) lbh 5x5x14-350 cm³
Hence,
Volume Fint can)=350 cm³
Case: 2 Other with a circular base of radius 3.5 cm and of height 12 cm.
So, its a cylinder with
Radius, r = 3,5 cm
Height, h=12 cm
So,
Volume Cylinder) - Trh (3.5)² × 12-4
So,
Volume Second can) 462 cm³
So, from above we concluded that
Volume First can)=350 cm³
Volume Second can) -462 cm³
Hence,
Volume Second can] > Volume First can)
and
-> Difference = 462-350- 112 cm³