(A) The volume of a cylinder is given by the formula $V = \pi r^2 h$,where $V$ is the volume,$r$ is the radius,and $h$ is the height.Given: $V = 550 \

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) The volume of a cylinder is given by the formula $V = \pi r^2 h$,where $V$ is the volume,$r$ is the radius,and $h$ is the height.Given: $V = 550 \, cm^3$,$r = 5 \, cm$,and $\pi \approx \frac{22}{7}$.Substituting the values into the formula: $550 = \frac{22}{7} \times (5)^2 \times h$.$550 = \frac{22}{7} \times 25 \times h$.$550 = \frac{550}{7} \times h$.$h = 550 \times \frac{7}{550}$.$h = 7 \, cm$.

Class 10 Mathematics Surface Areas and Volumes Mix Examples - Surface Areas and Volumes

Easy

The volume of a cylinder is $550 \, cm^3$ and its radius is $5 \, cm$. Then,its height is ....... $cm$.

A
$7$
B
$5$
C
$9$
D
$14$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Surface Areas and Volumes

Subtopic

Mix Examples - Surface Areas and Volumes

The radii of a frustum of a cone are $6 \, cm$ and $4 \, cm$. If its height is $9 \, cm$,its volume is $\ldots \ldots \ldots \pi \, cm^3$.

Easy

View Solution

Total surface area of a cylinder with radius $7 \, cm$ and height $13 \, cm$ is $\ldots \ldots \ldots \ldots \, cm^{2}$.

Easy

View Solution

How many balls with diameter $0.5\, cm$ can be produced by melting a metallic cylinder with radius $2\, cm$ and height $8\, cm$?

Medium

View Solution

The radii of a frustum of a cone are $10\,cm$ and $7\,cm$. If its height is $4\,cm$, then its curved surface area is $\ldots \ldots \ldots \,cm^2$. (in $\pi$)

Medium

View Solution

The curved surface area $(CSA)$ of a cone is $\ldots \ldots$

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The volume of a cylinder is $550 \, cm^3$ and its radius is $5 \, cm$. Then,its height is ....... $cm$.

Similar Questions

The radii of a frustum of a cone are $6 \, cm$ and $4 \, cm$. If its height is $9 \, cm$,its volume is $\ldots \ldots \ldots \pi \, cm^3$.

Total surface area of a cylinder with radius $7 \, cm$ and height $13 \, cm$ is $\ldots \ldots \ldots \ldots \, cm^{2}$.

How many balls with diameter $0.5\, cm$ can be produced by melting a metallic cylinder with radius $2\, cm$ and height $8\, cm$?

The radii of a frustum of a cone are $10\,cm$ and $7\,cm$. If its height is $4\,cm$, then its curved surface area is $\ldots \ldots \ldots \,cm^2$. (in $\pi$)

The curved surface area $(CSA)$ of a cone is $\ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module