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Recall
Hemispheres and compound solids — objective 1
Maths4U Original · Short practice
A solid consists of a cylinder of radius 4 cm and height 10 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write the hemisphere volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Hemispheres and compound solids — objective 1
Maths4U Original · Short practice
A solid consists of a cylinder of radius 5 cm and height 11 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write the hemisphere volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Method
Hemispheres and compound solids — objective 2
Maths4U Original · Short practice
A solid consists of a cylinder of radius 5 cm and height 11 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write the whole solid volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Hemispheres and compound solids — objective 2
Maths4U Original · Short practice
A solid consists of a cylinder of radius 6 cm and height 4 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write the whole solid volume as \(\displaystyle k\pi \mathrm{cm}^{3}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Apply
Hemispheres and compound solids — objective 3
Maths4U Original · Short practice
A solid consists of a cylinder of radius 6 cm and height 4 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write its exposed surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Hemispheres and compound solids — objective 3
Maths4U Original · Short practice
A solid consists of a cylinder of radius 7 cm and height 5 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write its exposed surface area as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Check understanding
Hemispheres and compound solids — objective 4
Maths4U Original · Short practice
A solid consists of a cylinder of radius 7 cm and height 5 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write the hemisphere curved area alone as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Hemispheres and compound solids — objective 4
Maths4U Original · Short practice
A solid consists of a cylinder of radius 2 cm and height 6 cm capped by a hemisphere of the same radius. The opposite circular cylinder end is closed. The joined circular faces are internal.
Write the hemisphere curved area alone as \(\displaystyle k\pi \mathrm{cm}^{2}\). Find k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.