1 Marks Question

Question 11 Mark

Find the volume of a sphere whose diameter is:2.1m

Answer

Diameter = 2.1m, Radius (r) $=\frac{2.1}{2}=1.05\text{m}$
Therefore volume $=\frac{4}{3\pi\text{r}^3}$
$=\frac{4}{3}\times\frac{22}{7}\times(1.05)^3=4.851\text{m}^3$

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Question 21 Mark

Find the volume of a sphere whose radius is:10.5cm.

Answer

Radius (r) = 10.5cm
Therefore volume $=\frac{4}{3\pi\text{r}^3}$
$=\frac{4}{3}\times\frac{22}{7}\times(10.5)^3=4851\text{cm}^2$

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Question 31 Mark

Find the surface area of a sphere of radius:14cm

Answer

Given radius = 14cm
Surface area $=4\pi\text{r}^2$
$=4\times\frac{22}{7}\times(14)^2$
$=2464\text{cm}^2$

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Question 41 Mark

Find the surface area of a sphere of diameter:3.5cm

Answer

Given Diameter = 3.5cm
Radius $=\frac{\text{Diameter}}{2}$
$=\frac{3.5}{2}=1.75\text{cm}$
Surface area $4\pi\text{r}^2$
$=4\times\frac{22}{7}\times(1.75)^2$
$=38.5\text{cm}^2$

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Question 51 Mark

Find the volume of a sphere whose radius is:
2cm.

Answer

Radius (r) = 2cm
Therefore volume $=\frac{4}{3\pi\text{r}^3}$
$=\frac{4}{3}\times\frac{22}{7}\times(2)^3$
$=33.52\text{cm}^3$

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Question 61 Mark

Find the surface area of a sphere of diameter:21cm

Answer

Given Diameter = 21cm
Radius $=\frac{\text{Diameter}}{2}$
$=\frac{21}{2}=10.5\text{cm}$
Surface area $4\pi\text{r}^2$
$=4\times\frac{22}{7}\times(10.5)^2$
$=1386\text{cm}^2$

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Question 71 Mark

Find the volume of a sphere whose diameter is:
14cm.

Answer

Diameter = 14cm, Radius (r) $=\frac{14}{2}=7\text{cm}$
Therefore volume $=\frac{4}{3\pi\text{r}^3}$
$=\frac{4}{3}\times\frac{22}{7}\times(7)^2=1437.33\text{cm}^3$

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Question 81 Mark

Find the surface area of a sphere of radius:
5.6cm

Answer

radius Given = 5.6cm
Surface area $=4\pi\text{r}^2$
$=4\times\frac{22}{7}\times(5.6)^2$
$=394.24\text{cm}^2$

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Question 91 Mark

Find the surface area of a sphere of diameter:
14cm

Answer

Given Diameter = 14cm
Radius $=\frac{\text{Diameter}}{2}$
$=\frac{14}{2}=7\text{cm}$
Surface area $=4\pi\text{r}^2$
$=4\times\frac{22}{7}\times(7)^2$
$=616\text{cm}^2$

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Question 101 Mark

Find the volume of a sphere whose diameter is: $3.5\ dm$

Answer

Diameter $= 3.5\ dm,$
Radius $(r) 3.52 = 1.75\ dm$
Therefore volume $=\frac{4}{3\pi\text{r}^3}$
$=\frac{4}{3}\times\frac{22}{7}\times(1.75)^3$
$= 22.46\ dm^3$

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Question 111 Mark

Find the surface area of a sphere of radius:
10.5cm

Answer

Given Radius = 15.5cm
Surface area $=4\pi\text{r}^2$
$=4\times\frac{22}{7}\times(10.5)^2$
$=1386\text{cm}^2$

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Question 121 Mark

Find the volume of a sphere whose radius is:
3.5cm

Answer

Radius (r) = 3.5cm
Therefore volume $=\frac{4}{3\pi\text{r}^3}$
$=\frac{4}{3}\times\frac{22}{7}\times(3.5)^3$
$=179.666\text{cm}^3$

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