Question

Cuplemen
tary. Find the height of the tower.
39. The bottom of a light cylinderical shaped
vessel made from metallic sheet is closed
by a cone shaped vessel as shown in the
figure. The radius of the
circular base of the cylin-
der and radius of the cir-
cular base of the cone
each is equal to 7cm. If the
height of the cylinder is
20cm & height of the cone
is 3cm, calculate the cost of milk to fill com-
pletely this vess at the note of Rs. 20 liter
OR​

Answer 1

GIVEN:

• Radius of the circular base of the cylinder = 7 cm
• radius of the circular base of the cone = 7 cm
• Height of the cylinder = 20 cm
• Height of the cone = 3 cm

TO FIND:

• What is the cost of milk to fill completely this vessel the rate of Rs. 20 litre ?

SOLUTION:

Radius of Cylindrical part is 7cm and height of Cylindrical part is 20 cm

To find the Volume of cylinder, we use the formula:-

$\bf\red{Volume \: of \: cylinder = π r^2 h }$

Take π = 22/7

Putting the values in the formula, we get

$\sf{\mapsto Volume = \frac{22}{7} \times (7)^2 \times 20}$

$\sf{\mapsto Volume = \frac{22}{7} \times 7 \times 7 \times 20}$

$\sf{\mapsto Volume = 22 \times 7 \times 20}$

$\sf{\mapsto Volume = 154 \times 20 }$

$\bf\red{\mapsto \: \star \: Volume = 3080 \: cm^3 \: \star }$

❛ Volume of cylinder is 3080 cm³ ❜

Radius of Conical part is 7cm and height of Conical part is 3 cm

To find the Volume of Cone, we use the formula:-

$\bf\red{Volume \: of \: cone = \frac{1}{3} π r^2 h }$

Take π = 22/7

Putting the values in the formula, we get

$\sf{\mapsto Volume = \frac{1}{3} \times \frac{22}{7} \times (7)^2 \times 3}$

$\sf{\mapsto Volume = \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times 3}$

$\sf{\mapsto Volume = 22 \times 7}$

$\bf\red{\mapsto \: \star \: Volume = 154 \: cm^3 \: \star }$

❛ The volume of cone is 154 cm³ ❜

✬ Total Volume of Vessel = Volume of Cylinder – Volume of cone ✬

$\sf{ \rightharpoonup 3080 - 154 }$

$\bf\red{\mapsto \: \star \: Total \: Volume = 2926 \: cm^3 \: \star }$

❛ The total Volume of Vessel is 2926 cm³ ❜

If rate of each litre is Rs. 20:

Then,

➨ $\sf{2926 \times 20}$

➨ $\bf\red{ \: \star \: Rs. \: 58520 \: \star }$

❛ Hence, the cost of milk to fill completely this vessel is Rs. 58520 ❜

________________