(A) Given: $r + h = 37 \, m$ and Total Surface Area $= 2 \pi r(r + h) = 1628 \, m^2$.Substituting the value of $(r + h)$ in the surface area formula:$

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

(A) Given: $r + h = 37 \, m$ and Total Surface Area $= 2 \pi r(r + h) = 1628 \, m^2$.Substituting the value of $(r + h)$ in the surface area formula:$2 \times \frac{22}{7} \times r \times 37 = 1628$$r = \frac{1628 \times 7}{44 \times 37} = \frac{1628}{1628} \times 7 = 7 \, m$.Now,find the height $h$:$h = 37 - r = 37 - 7 = 30 \, m$.The volume of the cylinder is given by $V = \pi r^2 h$.$V = \frac{22}{7} \times 7 \times 7 \times 30 = 22 \times 7 \times 30 = 4620 \, m^3$.

Competitive Quantitative Aptitude Mensuration Measurement of Volume and Surface Area

Easy

The sum of the radius of the base and the height of a solid cylinder is $37 \, m$. If the total surface area of the cylinder is $1628 \, m^2$,find the volume (in $m^3$).

A
$4620$
B
$4630$
C
$4520$
D
$4830$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Mensuration

Subtopic

Measurement of Volume and Surface Area

The outer dimensions of a closed box are $12 \text{ cm}$ by $10 \text{ cm}$ by $8 \text{ cm}$. If the box is made of wood $1 \text{ cm}$ thick,find out the capacity of the box (in $\text{cm}^3$).

Medium

View Solution

The curved surface area of a circular cylinder of height $h$ and the slant surface area of a cone of slant height $2h$,having the same circular base,are in the ratio of:

Medium

View Solution

The radius of the base of a solid cylinder is $r \text{ cm}$ and its height is $3 \text{ cm}$. It is recast into a cone of the same radius. The height of the cone will be (in $\text{cm}$):

Easy

View Solution

The radius of a wheel is $3.5 \, cm$. What is the distance (in $cm$) travelled by the wheel in $20$ revolutions?

Easy

View Solution

$A$ cone and a cylinder having the same area of the base have also the same area of curved surfaces. If the height of the cylinder is $2 \, m$,find the slant height of the cone (in $m$).

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 sum of the radius of the base and the height of a solid cylinder is $37 \, m$. If the total surface area of the cylinder is $1628 \, m^2$,find the volume (in $m^3$).

Similar Questions

The outer dimensions of a closed box are $12 \text{ cm}$ by $10 \text{ cm}$ by $8 \text{ cm}$. If the box is made of wood $1 \text{ cm}$ thick,find out the capacity of the box (in $\text{cm}^3$).

The curved surface area of a circular cylinder of height $h$ and the slant surface area of a cone of slant height $2h$,having the same circular base,are in the ratio of:

The radius of the base of a solid cylinder is $r \text{ cm}$ and its height is $3 \text{ cm}$. It is recast into a cone of the same radius. The height of the cone will be (in $\text{cm}$):

The radius of a wheel is $3.5 \, cm$. What is the distance (in $cm$) travelled by the wheel in $20$ revolutions?

$A$ cone and a cylinder having the same area of the base have also the same area of curved surfaces. If the height of the cylinder is $2 \, m$,find the slant height of the cone (in $m$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module