Answer:
a) Surface Area of a Sphere:
[ A = 4pi r^2 ]
b) Volume of a Sphere:
[V = frac{4}{3}pi r^3 ]
Given that the radius (r) of the sphere is 8 cm, let's calculate its surface area and volume:
a) Surface Area:
[ A = 4pi(8)^2 ]
[ A = 4\pi \times 64 ]
[ A = 256\pi ]
b) Volume:
[ V = frac{4}{3}\pi(8)^3 ]
\[ V =frac{4}{3}pi times 512 ]
[ V = frac{2048}{3}pi]
So, for a sphere with a radius of 8 cm:
a) Surface area ≈ ( 256\pi ) square centimeters
b) Volume ≈ ( frac{2048}{3}pi ) cubic centimeters
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