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Volume and Surface Area Question?

For the B(iii) part of this question, my working is:

V of hemisphere = 2/3 * 3.142 * #r^3#
The volume = 13 liters, so we can consider it to be 13000 #cm^3#

13000 = 2/3 * 3.142 * #r^3#

#r^3# = #sqrt(61269)
r = 39.4 cm

But the answer according to my book is 78.8 cm, the exact double. Could someone please help me in this question?

Answer 1

The calculation is for the SPHERE, the data (volume) is the HEMISPHERE. Thus, the volume of the sphere (needed in your calculation is TWICE the hemisphere's or 26L.

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Answer 2

Sophia Alfred

Sure, please go ahead and ask your question about volume and surface area.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.