The volume of a cylinder is $5500 \text{ m}^3$. Find its diame... | Mathematics MCQ

MathematicsPrevious Year Paper 2024

The volume of a cylinder is $5500 \text{ m}^3$ . Find its diameter of base if the height of the cylinder is $70 \text{ m}$ . [Use $\pi = \frac{22}{7}$ ]

12 m

14 m

10 m

8 m

Correct Answer

📐 MA • Math Mensuration / Cylinder FormulaMathematicsPrevious Year Paper 2024

Option C

10 m

Quick Summary:

Finding Base Diameter of a Cylinder Given Volume 5500 m³ and Height 70 m

🎯

Crack Previous Year Paper 2024 with Examoogle SuperTeachers

Get Free Demo Classes & Live Mocks →

📐MAMath SolutionMensuration / Cylinder Formula⏱️ 25 Seconds

📋 Given

Volume $V = 5500\text{ m}^3$ , Height $h = 70\text{ m}$ , $\pi = 22/7$

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Cylinder Volume Formula

$V = \pi r^2 h$ Substitute the known values: $5500 = \frac{22}{7} \times r^2 \times 705500 = 220 \times r^2$

220r2=5500220 r^2 = 5500220r2=5500

Calculate Radius and Diameter

$r^2 = \frac{5500}{220} = 25 \implies r = \sqrt{25} = 5\text{ m}\text{Diameter } d = 2r = 2 \times 5 = 10\text{ m}$

Diameter=10m\text{Diameter} = 10 mDiameter=10m

✅

Option C is correct — 10 m

Was this solution helpful?

⚡ Practice on Android App · 4.8 ★

Solve 10,000+ More Questions with AI Tutor

Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.

Free Download • 100K+ Aspirants

Discussion (0)

Loading discussion...

Prev Next

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Related Questions

Discussion (0)

Correct Answer

Solve 10,000+ More Questions with AI Tutor

Related Questions

Discussion (0)