We appreciate your visit to The circumference of the base of the cylinder vessel is 176 cm and its height is 21 mm How many litres of water can it. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find how many litres of water a cylindrical vessel can hold, we need to calculate its volume. We're given the circumference of the base and the height of the cylinder.
Step 1: Find the Radius of the Base
The formula for the circumference [tex]C[/tex] of a circle is:
[tex]C = 2\pi r[/tex]
where [tex]r[/tex] is the radius.
Given the circumference [tex]C = 176 \text{ cm}[/tex] and [tex]\pi = \frac{22}{7}[/tex], we can solve for [tex]r[/tex]:
[tex]176 = 2 \times \frac{22}{7} \times r[/tex]
[tex]r = \frac{176 \times 7}{2 \times 22}[/tex]
[tex]r = \frac{1232}{44}[/tex]
[tex]r = 28 \text{ cm}[/tex]
Step 2: Calculate the Volume of the Cylinder
The formula for the volume [tex]V[/tex] of a cylinder is:
[tex]V = \pi r^2 h[/tex]
where [tex]h[/tex] is the height.
The height given is 21 mm. Converting this to centimeters (since we need consistent units), we have:
[tex]h = 2.1 \text{ cm}[/tex]
Now, substitute the values:
[tex]V = \frac{22}{7} \times (28)^2 \times 2.1[/tex]
[tex]V = \frac{22}{7} \times 784 \times 2.1[/tex]
[tex]V = \frac{22}{7} \times 1646.4[/tex]
[tex]V = 5174.4 \text{ cm}^3[/tex]
Step 3: Convert Volume to Litres
Since 1 litre = 1000 cm³, the volume in litres is:
[tex]V = \frac{5174.4}{1000}[/tex]
[tex]V = 5.1744 \text{ litres}[/tex]
Therefore, the cylinder can hold approximately 5.1744 litres of water. The correct multiple-choice option is 5.1744.
Thanks for taking the time to read The circumference of the base of the cylinder vessel is 176 cm and its height is 21 mm How many litres of water can it. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
