In the given figure, a cylindrical wrapper of flat tablets is shown. T

1.	In the given figure, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?
Answer» Given: For the cylindrical tablets, radius (r) = 7 mm, thickness = height(h) = 5 mm For the cylindrical wrapper, diameter (D) = 14 mm, height (H) = 10 cm To find: Number of tablets that can be wrapped. Radius of wrapper (R) = Diameter/2 = 14/2 = 7 mm Height of wrapper (H) = 10 cm = 10 × 10 mm = 100 mm Volume of a cylindrical wrapper = πR²H = π(7)² × 100 = 4900π mm³ Volume of a cylindrical tablet = πr² h = π(7)² × 5 = 245 π mm³ (No. of tablets that can be wrapped) = (voume of a cylindrical wrapper)/ (valume of a cylindrical tablet) = 4900π)/245π = 20 ∴ 20 tables can be wrapped in the wrapper

In the given figure, a cylindrical wrapper of flat tablets is shown. The radius of a tablet is 7 mm and its thickness is 5 mm. How many such tablets are wrapped in the wrapper?

Answer»

Given: For the cylindrical tablets,

radius (r) = 7 mm,

thickness = height(h) = 5 mm

For the cylindrical wrapper,

diameter (D) = 14 mm, height (H) = 10 cm

To find: Number of tablets that can be wrapped.

Radius of wrapper (R) = Diameter/2

= 14/2 = 7 mm

Height of wrapper (H) = 10 cm

= 10 × 10 mm

= 100 mm

Volume of a cylindrical wrapper = πR²H

= π(7)² × 100

= 4900π mm³

Volume of a cylindrical tablet = πr² h

= π(7)² × 5

= 245 π mm³

(No. of tablets that can be wrapped) = (voume of a cylindrical wrapper)/ (valume of a cylindrical tablet)

= 4900π)/245π

= 20

∴ 20 tables can be wrapped in the wrapper