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A hollow sphere of radius r is being filled with water. The surface area of a hemisphere is 3pi*r^2. Question: When the water is at height r, and filling at a rate of 4cm^3s^-1, what is dS/dT?

By the chain rule ds/dt = ds/dr * dr/dv * dv/t. At a height of r, the water fills a hemisphere. So ds/dr = 6pi r. dr/dv = 1/(dv/dr), so we need to find dv/dr. Students should have the formula for the volume ...
HB
Answered by Henry B. • Maths tutor
6217 Views

Describe in Italian what you like to do in your spare time

Nel tempo libero mi piace andare a correre, fare delle lunghe passeggiate in montagna e leggere. Di solito vado a correre due volte alla settimana, mi aiuta a rilassarmi e a mantenermi in forma. Nel fine set...
PC
Answered by Paolo C. • Italian tutor
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Suppose we have a circle whose radius is 5cm. If a sector of this circle has an area of 15 cm^2, what is the size its angle (in degrees)?

Firstly, you would need to figure out what formula you can use to solve this problem. You know the radius and area of the sector, and you need to find the angle. So, the correct equation to use would be the ...
RS
Answered by Roxani S. • Maths tutor
3694 Views

Describe and evaluate Selye's General Adaptation Syndrome (GAS) model.

Selye’s General Adaptation Syndrome (GAS) states that prolonged chronic exposure to stress can be harmful to an individual and suggest that individuals go through three physiological stages: alarm, resistanc...
RW
Answered by Renae W. • Psychology tutor
30783 Views

How should I go about revising for the MLAT translations? What happens if I know no vocab on the exam?

The first thing you must remember is to NOT PANIC whilst looking through past paper questions as it will seem there are a few hard words and structures that you may not have covered in your lessons or A-Leve...
EM
2923 Views