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A cylindrical block of wood has radius 2 cm, height 7 cm and mass 66 g - Junior Cycle Science - Question d - 2015

Question d

A cylindrical block of wood has radius 2 cm, height 7 cm and mass 66 g. (i) Calculate the volume of the block. (You may need to refer to page 10 of the Formulae and... show full transcript

Worked Solution & Example Answer:A cylindrical block of wood has radius 2 cm, height 7 cm and mass 66 g - Junior Cycle Science - Question d - 2015

Step 1

Calculate the volume of the block.

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Answer

To calculate the volume of a cylinder, use the formula:

$V = ext{π}r^2h$

Where:

$r$ = radius = 2 cm
$h$ = height = 7 cm

Substituting the values, we get:

$V = ext{π} (2)^2 (7) = ext{π} (4)(7) = 28 ext{π}$

Evaluating using an approximate value for π (3.14):

$V = 28 imes 3.14 = 87.92 ext{ cm}^3$

Step 2

Calculate the density of the wood.

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Answer

Density ( $D$ ) is calculated by the formula:

$D = \frac{M}{V}$

Where:

$M$ = mass = 66 g
$V$ = volume = 87.92 cm³ (from part (i))

Now substituting in the values, we have:

$D = \frac{66}{87.92} ext{ g/cm}^3 \\ = 0.7507 ext{ g/cm}^3$

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