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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 an... 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, we use the formula:

ho imes r^2 imes h $$ Where: - $V$ is the volume - $r$ is the radius - $h$ is the height Substituting the values: - $r = 2 ext{ cm}$ - $h = 7 ext{ cm}$ $$ V = rac{22}{7} imes (2)^2 imes 7 $$ Calculating this gives: $$ V = rac{22}{7} imes 4 imes 7 = rac{22 imes 28}{7} = 88 ext{ cm}^3 $$

Step 2

Calculate the density of the wood.

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Answer

Density is calculated using the formula:

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

Where:

$D$ is the density
$M$ is the mass
$V$ is the volume

Using the mass ( $M = 66 ext{ g}$ ) and the volume from part (i) ( $V = 88 ext{ cm}^3$ ):

$D = \frac{66 ext{ g}}{88 ext{ cm}^3}$

Calculating this gives:

$D = 0.75 ext{ g/cm}^3$

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