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Surface Areas and Volumes — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsSurface Areas and Volumes1 Mark
MCQ
Choose the correct answer from the given four options : If two solid hemispheres of same base radius $r$ are joined together along their bases, then curved surface area of this new solid is :
  • ✓
    $4\pi\text{r}^2$
  • B
    $6\pi\text{r}^2$
  • C
    $3\pi\text{r}^2$
  • D
    $8\pi\text{r}^2$
✓

Answer

Correct option: A.
$4\pi\text{r}^2$
Because curved surface area of a hemisphere is $2 w^2$ and here,
we join two solid hemispheres along their bases of radius $r,$ from which we get a solid sphere.
Hence, the curved surface area of new solid $=2\pi\text{r}^2+2\pi\text{r}^2=4\pi\text{r}^2$

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