2 cylindrical vessels are filled with water. Radius and height of one vessel is 15 cm and 40 cm respectively and those of 2nd vessel 20cm and 45cm respectively. Find the radius of another cylindrical vessel of height 30cm which will just contain the water of the two given vessels.
Answers
Step-by-step explanation:
Radius of 1st cylindrical vessel = 15cm and height = 25cm Radius of 2nd cylindrical vessel = 10cm and height = 18cm So, Volume of 1st cylindrical vessel = πr2h = π × (15)2 × 25 = 5625π cm3 Volume of 2nd cylindrical vessel = π(r’)2h’ = π × (10)2 × 18 = 1800π cm3 Height of the third vessel = 30cm and let its radius be R So, Volume of third cylindrical vessel = πR2H = πR2×30 = 30πR2 Volume of 1st cylindrical vessel + Vol. of 2nd Cylindrical vessel = Volume of the third cylindrical Vessel ⇒ 5625π + 1800π = 30πR2 ⇒ 7425π = 30πR2 ⇒ 7425/30 = R2 ⇒ R2 = 247.5 ⇒ R = 15.73cm Hence, radius of the required cylinder is 15.73cmRead more on Sarthaks.com - https://www.sarthaks.com/970460/two-cylindrical-vessels-are-filled-with-oil-the-radius-of-one-vessel-is-15-cm-and-its-height