Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A conical tent is required to accommodate 5 persons and each person needs 16 cm2 of space on the ground and 100 cubic metres of air to breathe. Find the vertical height of the tent.
Answer
Answer (as printed):
Explanation
Let the radius of the base of the tent be r and the vertical height be h. Then, area of the base = pr2. 80 \ pr2 = 16 × 5 = 80 ⇒ r2 = . π 1 2 1 80 80 h Volume of the tent = πr h = × π × × h= . 3 3 π 3 80 h 75 3 \ = 100 × 5 ⇒ 80 h = 1500 ⇒ h = = 18 . 3 4 4 3 Hence, height of the tent = 18 m. 4
Explanation as extracted from the printed page; notation may be imperfect.