v1 Measurement, STD2 M1 2022 HSC 34

A composite solid is shown. The top section is a hemisphere with a diameter of 6 cm. The bottom section is a cylinder with a height of 3 cm and a diameter of 4 cm

Find the total volume of the composite solid in cm³, correct to 1 decimal place. (4 marks)

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`94.2 \ text{cm}^3`

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`text{Volume of Hemisphere}`	`=2/3 pi r^3`
	`=2/3 pi xx 3^3`
	`=56.54\ text{cm}^3`

`text{Volume of Cylinder}`	`=pi r^2 h`
	`=pi (2^2) xx 3`
	`=37.69\ text{cm}^3`

`text{Total Volume}`	`=56.54+37.69`
	`=94.23`
	`=94.2 \ text{cm}^3`