A bag contains $$$15000 \mathrm{~cm}^{3}$$$ of sand. Some of this sand is used to completely fill a hole in the shape of a cylinder. The hole is $$$30 \mathrm{~cm}$$$ deep and has radius $$$10 \mathrm{~cm}$$$. Calculate the percentage of the sand from the bag that is used. .......................................... $$$\%$$$

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_m21_qp_42 Year：2021 Question No：10(b)

Answer:

$62.8$ or $62.83$ to $62.84$

Knowledge points:

E1.12.1 Calculate a given percentage of a quantity.

E1.12.2 Express one quantity as a percentage of another.

E1.12.3 Calculate percentage increase or decrease.

E1.12.4 Carry out calculations involving reverse percentages. (e.g. finding the cost price given the selling price and the percentage profit.)

E5.4.1 Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. (Answers may be asked for in multiples of π.)

E5.4.2 Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. (Formulae will be given for the surface area and volume of the sphere, pyramid and cone in the question.)

Answer:

Knowledge points:

Solution:

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