Question

Two cylindrical vessels are filled with milk. The radius of one vessel is 15 cm and
height is 40 cm, and the radius of other vessel is 20 cm and height is 45 cm. Find the
radius of another cylindrical vessel of height 30 cm which may just contain the milk
which is in the two given vessels.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Given:

• Radius of 1st cylinder = 15cm
• Height of 1st cylinder = 40 cm

• Radius of 2nd cylinder = 20 cm
• Height of 2nd cylinder = 45 cm

• Also, height of new cylinder = 30 cm

ExPlanation:

Let the radius of new cylinder be r cm.

Sum of volumes of 1st and 2nd cylinder = volume of new cylinder

π × 152× 40 + π × 202× 45 = πr²× 30

⇒(225 × 40 + 400 × 45) = r² × 30

⇒ 9000 + 18000 = r² × 30

⇒27000 = r² × 30

⇒r² = 900

⇒r² = 302

⇒r = 30 cm

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