Question

The circumference of the base of a right circular cylinder is 88 diameter. if the height of the cylinder is 42 diameter, find the volume of the cylinder.

Answer 1

$\sf\large\underline{Correct\: Question:}$

The circumference of the base of a right circular cylinder is 88m. If the height of the cylinder is 42m. Find the volume of the cylinder.

$\sf\large\underline{Given:}$

• $\tt{Diameter\:_{(cyclinder)}=88m}$
• $\tt{Height\:_{(cycling)}=42m}$

$\sf\large\underline{To\: Find:}$

• $\tt{Volume\:_{(cyclinder)}=?}$

$\sf\large\underline{Solution:}$

• By applying formula to calculate the volume of cyclinder before calculate the volume we have to find out the radius of cyclinder cyclinder with the help of given circumference]

$\tt{\implies Circumference\:_{(base\:of\: cyclinder)}=2\pi\:r}$

$\tt{\implies 88=2\times\:\frac{22}{7}\times\:r}$

$\tt{\implies r=\frac{88\times\:7}{22\times\:2}}$

$\tt{\implies r=2\times\:7}$

$\tt{\implies r=14m}$

$\sf\large\underline{Formula\: used:}$

• $\tt{Volume\:_{(cyclinder)}=\pi\:r^2\:h}$

$\tt{\implies Volume\:_{(cyclinder)}=\frac{22}{7}\times\:14^2\times\:42}$

$\tt{\implies Volume\:_{(cyclinder)}=22\times\:14\times\:14\times\:6}$

$\tt{\implies Volume\:_{(cyclinder)}=25872\:m^3}$

$\sf\large{Hence,}$

$\bf{\implies Volume\:_{(cyclinder)}=25872\:m^3}$

Answer 2

$\bf{\blue{\bigstar}}$ Correct Question :

• The circumference of the base of a right circular cylinder is 88cm . If the height is 42cm. Find the volume of the cylinder .

$\bf{\blue{\bigstar}}$ Answer :

Given the circumference of the base of a right circular cylinder = 88 m

⇒ 2πr = 88

⇒ 2*(22/7)*r = 88

⇒ r = 14 m

Height of the cylinder ,  h = 42 m

Now volume of the cylinder , v = πr²h

⇒ v = π*(14)²*(42)

⇒ v = (22/7)*196*42

⇒ v = 25872 m³

Hence , the volume of the cylinder , v = 25872 m³