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# SURFACE AREA AND VOLUME OF A SPHERE

CONTENT

1. Surface Area of a Sphere
2. Volume of a Sphere

## Surface Area and Volume of a Sphere

### Sphere

The diagram below shows a solid sphere of radius

### Formulae

1. Curved surface area of sphere = $$4πr^2$$

2. Volume of sphere = $$\frac{4}{3}πr^3$$

3. Volume of a hemisphere = $$\frac{2}{3}πr^3$$

4. Total surface area of a hemisphere = $$3 πr^2$$

Examples:

1. Find the volume and curved surface area of a sphere of radius 9cm correct to 4 s.f. (Take $$π=3.142$$)

Solution:

Volume of sphere $$= \frac{4}{3} πr^3$$

$$π=3.142$$, $$r = 9cm =3cm^3$$.

$$Volume = \frac{4}{3} × \frac{3.142}{1} × 9^3cm^3 \\ = 3054.024cm^3\\ = 3054cm^3 \text{ (4 s.f.)}$$

Curved surface area $$=4 πr^2$$, $$π=3.142$$  $$r=9cm$$

Curved surface area $$=4×3.142×9^2 cm^2 \\ =1018.008 cm^2 \\=1018cm^2 \text{ (4 s.f.)}$$

2. The volume of a sphere is $$2100cm^3$$, and its radius is $$x cm$$.

Lesson tags: General Mathematics Lesson Notes, General Mathematics Objective Questions, SS3 General Mathematics, SS3 General Mathematics Evaluation Questions, SS3 General Mathematics Evaluation Questions First Term, SS3 General Mathematics First Term, SS3 General Mathematics Objective Questions, SS3 General Mathematics Objective Questions First Term
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