The vertical height of a conical tent is 42 dm and its diameter of the base is 54 dm- How many persons can it accommodate- each person is to be allowed 2916 displaystyle text-dm-3- of space - displaystyle left - pi -22-7 right -

Question

The vertical height of a conical tent is 42 dm and its diameter of the base is 54 dm- How many persons can it accommodate- each person is to be allowed 2916 displaystyle  text-dm-3- of space - displaystyle left - pi -22-7 right -

Toppr Admin · Accepted Answer

Volume of the cone i-e capacity of the cone-160-displaystyle -frac-1-3-pi r-2-h-displaystyle -frac-1-3-times -frac-22-7-times 27-times 27-times 42dm-3-displaystyle -32076-gt-dm-3-displaystyle -therefore - No-of person-displaystyle -frac-32076-2916-11-

The vertical height of a conical tent is $$42$$ dm and its diameter of the base is $$54$$ dm. How many persons can it accommodate, if each person is to be allowed $$2916$$ $$\displaystyle \ \text{dm}^{3}$$ of space ? $$\displaystyle \left ( \pi =22/7 \right )$$

Volume of the cone i.e capacity of the cone
$$\displaystyle =\frac{1}{3}\pi r^{2}h$$
$$\displaystyle =\frac{1}{3}\times \frac{22}{7}\times 27\times 27\times 42dm^{3}$$
$$\displaystyle =32076\>dm^{3}$$
$$\displaystyle \therefore $$ No.of person$$\displaystyle =\frac{32076}{2916}=11$$

The vertical height of a conical tent is $$42$$ dm and its diameter of the base is $$54$$ dm. How many persons can it accommodate, if each person is to be allowed $$2916$$ $$\displaystyle \ \text{dm}^{3}$$ of space ? $$\displaystyle \left ( \pi =22/7 \right )$$

Volume of the cone i.e capacity of the cone $$\displaystyle =\frac{1}{3}\pi r^{2}h$$$$\displaystyle =\frac{1}{3}\times \frac{22}{7}\times 27\times 27\times 42dm^{3}$$$$\displaystyle =32076\>dm^{3}$$$$\displaystyle \therefore $$ No.of person$$\displaystyle =\frac{32076}{2916}=11$$

Volume of the cone i.e capacity of the cone
$$\displaystyle =\frac{1}{3}\pi r^{2}h$$
$$\displaystyle =\frac{1}{3}\times \frac{22}{7}\times 27\times 27\times 42dm^{3}$$
$$\displaystyle =32076\>dm^{3}$$
$$\displaystyle \therefore $$ No.of person$$\displaystyle =\frac{32076}{2916}=11$$