(D) Let the radius of both the sphere and the solid hemisphere be $r$.The surface area of a sphere is given by the formula $4 \pi r^2$.The total surfa

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

(D) Let the radius of both the sphere and the solid hemisphere be $r$.The surface area of a sphere is given by the formula $4 \pi r^2$.The total surface area $(TSA)$ of a solid hemisphere is given by the formula $3 \pi r^2$.Therefore,the ratio of the surface area of the sphere to the $TSA$ of the hemisphere is $\frac{4 \pi r^2}{3 \pi r^2} = \frac{4}{3}$.Thus,the required ratio is $4:3$.

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

Easy

$A$ sphere and a solid hemisphere have equal radii. Then,the ratio of the surface area of the sphere and $TSA$ of the hemisphere is $\ldots \ldots \ldots \ldots$

A
$1:2$
B
$2:1$
C
$3:1$
D
$4:3$

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 $CSA$ and the volume of a cylinder are numerically equal. Then,its radius is $\ldots \ldots \ldots \ldots$ units.

Easy

View Solution

The base of a cone with radius $15\, cm$ and slant height $25\, cm$ is hemispherical. Find the volume of this solid. $(\pi=3.14)$ (in $cm^{3}$)

Medium

View Solution

Which of the following gives correctly the capacity of a cubical tank with length $2 \,m$, breadth $2 \,m$, and height $2 \,m$?

Easy

View Solution

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

Write 'True' or 'False' and justify your answer:
Two identical solid cubes of side $a$ are joined end to end. Then the total surface area of the resulting cuboid is $12 a^{2}$.

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

$A$ sphere and a solid hemisphere have equal radii. Then,the ratio of the surface area of the sphere and $TSA$ of the hemisphere is $\ldots \ldots \ldots \ldots$

Similar Questions

The $CSA$ and the volume of a cylinder are numerically equal. Then,its radius is $\ldots \ldots \ldots \ldots$ units.

The base of a cone with radius $15\, cm$ and slant height $25\, cm$ is hemispherical. Find the volume of this solid. $(\pi=3.14)$ (in $cm^{3}$)

Which of the following gives correctly the capacity of a cubical tank with length $2 \,m$, breadth $2 \,m$, and height $2 \,m$?

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

Write 'True' or 'False' and justify your answer:Two identical solid cubes of side $a$ are joined end to end. Then the total surface area of the resulting cuboid is $12 a^{2}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Write 'True' or 'False' and justify your answer:
Two identical solid cubes of side $a$ are joined end to end. Then the total surface area of the resulting cuboid is $12 a^{2}$.