Question
Write ‘True’ or ‘False’ and justify your answer in the following:
Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is $6\pi\text{r}^2.$

Answer

False: When two hemispheres of equal bases are stuck base to base it forms a sphere and total surface area of resulting sphere is $4\pi\text{r}^2.$
Hence, the given statement is false.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Write ‘True’ or ‘False’ and justify your answer.
The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will also be doubled.
It is given that $\triangle\text{DEF}\sim\triangle\text{RPQ}.$ Is it true to say that $\angle\text{D}=\angle\text{R}\text{ and }\angle\text{F}=\angle\text{P}?$ Why?
Write True or False and give reasons for your answer in each of the following.
By geometrical construction, it is possible to divide a line segment in the ratio $\sqrt{3}:\frac{1}{\sqrt{3}}.$
Write 'True' or 'False' and justify your answer in the following:
The value of $\sin\theta$ is $\text{x}+\frac{1}{\text{x}},$ where 'x' is a positive real number.
The product of any three consecutive natural number is divisible by 6 (True/ False).
State whether the following are true or false. Justify your answer.The value of $\cos \theta$ increases as $\theta$ increases.
Write ‘True’ or ‘False’ and justify your answer in the following:
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is $4\pi\text{r h}+4\pi\text{r}^2.$
State whether the following statements are true or false. Justify your answer.
The point P(-2, 4) lies on a circle of radius 6 and centre C(3, 5).
Write ‘True’ or ‘False’ and justify your answer in the following:
Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is $6\pi\text{r}^2.$
The value of $\sin \theta$ is $x+\frac{1}{x}$, where ' $x$ ' is a positive real number.