Question

a company wants to manufacture 10,000 hemisphere basins from a thin Steel sheet if the radius of each person is 14 cm find the area of Steel sheet required to manufacture the above hemispherical basins​

Answer 1

Required surface area for 10,000 hemisphere basin = $\bf{ 1231.50 m^2}$

Step-by-step explanation:

Given:

Hemispherical basin's radius (r) = 14 cm

• We know that the surface area of the hemisphere = $2\pi r^2$

• We can put the value of r and we get:

       Surface area of the hemisphere basin for one basin = $2\pi \times 14^2$

      Surface area of the hemisphere basin for one basin = $\bf{1231.50 cm^2}$

• Hence the steel sheet required the are for one basin = $\bf{1231.50 cm^2}$

• So we can calculate the required surface area of steel sheet for 10,000 hemisphere basin as:

•      Required surface area for 10,000 hemisphere basin = $10,000 \times 1231.50$

            Required surface area for 10,000 hemisphere basin = $12315000 cm^2$

• Required surface area for 10,000 hemisphere basin = $12315000 cm^2 = \dfrac{12315000}{10000} = 1231.50 m^2$