Question

A fancy paperweight of glass consists of right circular cylinder mounted on another right circular cylinder. The total height of paperweight is 6 cm. The diameter of lower cylinder is 7 cm and diameter of upper cylinder is 3.5 cm. Find the volume of the paperweight...

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Answer 1

Step-by-step explanation:

GIVEN:-

Total height =6cm

Diameter of lower cylinder = 7cm

Diameter of upper cylinder = 3.5cm

TO FIND:-

The volume of the paper weight.

UNDERSTANDING THE CONCEPT:-

According to the question,

The diameter of upper cylinder is 3.5cm, So the R1 ( radius of upper cylinder)

$= \frac{3.5}{2}$

$= 1.75cm$

The diameter of lower cylinder is 7cm, So the R1 (radius of lower cylinder)

$= \frac{7}{2}$

$= 3.5cm$

Height of upper cylinder = H1 = 2cm

Height of lower cylinder = H2 = 4cm

By this we can find the Volume of upper cylinder and lower cylinder and finally add up all to get total volume.

REQUIRED ANSWER:-

Volume of cylinder,

$=\pi \: r {}^{2} h$

Volume of upper cylinder,

$= \pi \: r1 {}^{2} h$

$= \frac{22}{7} \times (1.75) {}^{2} \times 2$

$= \frac{22}{7} \times 3.0625 \times 2$

$= \frac{134.75}{7}$

$= 19.25cm {}^{3}$

Volume of lower cylinder,

$= \pi \: r2 {}^{2} h2$

$= \frac{22}{7} \times (3.5) {}^{2} \times 4$

$= \frac{22}{7} \times 12.25 \times 4$

$= \frac{1078}{7}$

$= 154cm {}^{3}$

Total Volume = Volume of Upper cylinder + Volume of lower cylinder.

Total Volume = 19.25 + 154

Total Volume = 173.25cm^3

Therefore the Volume of paper weight = 173.25cm ^3

Answer 2

Step-by-step explanation:

GIVEN:-

Total height =6cm

Diameter of lower cylinder = 7cm

Diameter of upper cylinder = 3.5cm

TO FIND:-

The volume of the paper weight.

UNDERSTANDING THE CONCEPT:-

According to the question,

The diameter of upper cylinder is 3.5cm, So the R1 ( radius of upper cylinder)

$= \frac{3.5}{2}$

$= 1.75cm$

The diameter of lower cylinder is 7cm, So the R1 (radius of lower cylinder)

$= \frac{7}{2}$

$= 3.5cm$

Height of upper cylinder = H1 = 2cm

Height of lower cylinder = H2 = 4cm

By this we can find the Volume of upper cylinder and lower cylinder and finally add up all to get total volume.

REQUIRED ANSWER:-

Volume of cylinder,

$=\pi \: r {}^{2} h$

Volume of upper cylinder,

$= \pi \: r1 {}^{2} h$

$= \frac{22}{7} \times (1.75) {}^{2} \times 2$

$= \frac{22}{7} \times 3.0625 \times 2$

$= \frac{134.75}{7}$

$= 19.25cm {}^{3}$

Volume of lower cylinder,

$= \pi \: r2 {}^{2} h2$

$= \frac{22}{7} \times (3.5) {}^{2} \times 4$

$= \frac{22}{7} \times 12.25 \times 4$

$= \frac{1078}{7}$

$= 154cm {}^{3}$

Total Volume = Volume of Upper cylinder + Volume of lower cylinder.

Total Volume = 19.25 + 154

Total Volume = 173.25cm^3

Therefore the Volume of paper weight = 173.25cm ^3