Question

A right circular conical vessel whose internal radius is 21 cm and height 15 cm is full of
water. If water is poured into a right circular cylindrical vessel with internal radius 14 cm, find the length of the water rises​

Answer 1

Answer:

Volume of conical vessel =

3

1

πr

2

h=

3

1

×3.74×1×10×48=5024cm

3

Let height of cylindrical vessel be 'h' then

⇒ Volume of cylindrical vessel = Volume of water

⇒πr

2

h=5024⇒3.14×(20)

2

×h=5024⇒h=4cm

Answer 2

Answer:

Formula used:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Solution:

★ According to the Question:

Water is poured from right circular conical vessel full of water into a rightcircular cylindrical vessel.

We know that,

Volume of water = Volume of conical vessel.

Therefore,

☯ Volume of water in conical vessel = Volume of water in cylindrical vessel

Now, Putting values,

⇒ 1/3 × 22/7 × 21² × 15 = 22/7 × 14² × h

⇒ 1/3 × 21 × 21 × 15 = 14 × 14 × h

⇒ 2205 = 196 × h

⇒ h = 2205/196

⇒ h = 11.5 cm

∴ Hence, length of water rise in cylindrical vessel is 11.5 cm.