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Volume and Surface Areas of Solids — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsVolume and Surface Areas of Solids1 Mark
MCQ
A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of the two parts are equal, then the ratio of its radius and the slant height of the conical part is:
  • ✓
    1 : 2
  • B
    2 : 1
  • C
    1 : 4
  • D
    4 : 1
✓

Answer

Correct option: A.
1 : 2
Given that the radius of the hemisphere and the cone are equal.
Since the surface of the two parts are given to be equal.
$2\pi\text{r}^2=\pi\text{r}\text{l}$
$\Rightarrow2\text{r}=\text{l}$
$\Rightarrow\frac{\text{r}}{\text{l}}=\frac{1}{2}$
So, the ratio 1: 2

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