two cylindrical vessels are filled with milk the radius of 1 vessel is 15 cm and height is 40 cm and the radius of other vessels is 20 cm and height is 45 cm find the radius of an other cylindrical vessel of height 30 cm which may just contain in the milk which is in the two given vessels
Answers
The radius of an other cylindrical vessel = 30 cm
Step-by-step explanation:
Radius of the first vessel (r₁) = 15 cm
Height of the first vessel (h₁) = 40 cm
Volume of the first vessel = πr₁²h₁ = 22/7 (15)² (40)
= 22/7 × 15 × 15 × 40
= 28285.7 cm³
Radius of the second vessel (r₂ ) = 20 cm
Height of the second vessel (h₂) = 45 cm
Volume of the second vessel = πr₂²h₂ = 22/7 × (20)² × (45)
= 22/7 x 20 x 20 x 45
= 56571.4 cm³
Height of third vessel (h) = 30 cm
Volume of third vessel = volume of first vessel + volume of second vessel
πr² h = 28285.7 + 56571.4
22/7 r² (30 ) = 84857.1
r² = 593999.7 / 660
r² = 900
r = 30 cm
Thus, the radius of an other cylindrical vessel = 30 cm