Question
Find the radius of a sphere whose surface area is $154 cm^2$
✓
Answer
In the given problem, we have to find the radius of a sphere whose surface area is given.
Surface area of the sphere $(S)=154 cm^2$
Let the radius of the sphere be rcm
Now, we know that surface area of the sphere
$=4\pi\text {r}^2$ So,$154=4\Big(\frac{22}{7}\Big)(\text{r})^2$
$\text{r}^2=\frac{(154)(7)}{(4)(22)}$
$\text{r}^2=12.25$
Further, solving for r$\text{r}=\sqrt{12.25}$
$\text{r}=3.5$
Therefore, the radius of the given sphere is 3.5cm.
Surface area of the sphere $(S)=154 cm^2$
Let the radius of the sphere be rcm
Now, we know that surface area of the sphere
$=4\pi\text {r}^2$ So,$154=4\Big(\frac{22}{7}\Big)(\text{r})^2$
$\text{r}^2=\frac{(154)(7)}{(4)(22)}$
$\text{r}^2=12.25$
Further, solving for r$\text{r}=\sqrt{12.25}$
$\text{r}=3.5$
Therefore, the radius of the given sphere is 3.5cm.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the value of a for which $(x+1)$ is a factor of $\left(a x^3+x^2-2 x+4 a-9\right)$.
→Plot the points (3, 5) and (-1, 3) on a graph paper an verify that the straight line passing through these points also passes through the point (1, 4).
If $x + 1$ is a factor of $x^3 + a$, then write the value of a.
→Express the following equation in the form ax + by + c = 0 and indicate the values of a, b, c in case.$2\text{x}-\frac{\text{y}}{5}+6=0$
→Simplify:$\Big(\frac{32}{243}\Big)^{-\frac{4}{5}}$
→Factorise:$6\sqrt{3}\text{x}^2-47\text{x}+5\sqrt{3}$
→Check the following are the solution of the equation 5x - 4y = 20.$\Big(-2,\ \frac{5}{2}\Big)$
→In Fig. it is given that $\text{AB}=\text{CD}$ and $\text{AD}=\text{BC}.$ Prove that $\triangle\text{ADC}\cong\triangle\text{CBA}.$
→Solve the equation 3x - 2 = 2x + 3 and represent the solulion on the number line.
Find the ratio of the total surface area and lateral surface area of a cube.