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كويز تفاعلي: Volume of Cylinders - Mr. Aghead
Volume is the measure of the space occupied by a solid. Volume is measured in cubic units. A cylinder is a three-dimensional figure with two parallel congruent circular bases connected by a curved surface. The area of the base of a cylinder tells the number of cubic units in one layer. The height tells how many layers there are in the cylinder. This test focuses on using the formula for the volume of a cylinder given its diameter or radius and the height.
يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
Points: 1
Find the volume of the cylinder shown in the image. Round to the nearest tenth.
Explanation
The volume of a cylinder is $V = \pi r^2 h$. Using r = 7 cm, h = 20 cm, and $\pi \approx 3.14$, V = 3.14 × 72 × 20 = 3,077.2 cm3.
Question 2
Points: 1
Find the volume of the cylinder shown in the image. Round to the nearest tenth.
Explanation
The diameter is 8 ft, so the radius r = 4 ft. Using $V = \pi r^2 h$ with h = 9 ft and $\pi \approx 3.14$, $V = 3.14 \times 4^2 \times 9 \approx 452.2\text{ ft}^3$.
Question 3
Points: 1
Find the volume of the cylinder shown in the image. Express your answer in terms of $\pi$.
Explanation
The radius r is 8 in and the height h is 12 in. $V = \pi r^2 h = \pi \times 8^2 \times 12 = 768\pi\text{ in}^3$.
Question 4
Points: 1
Find the volume of the cylinder shown in the image. Express your answer in terms of $\pi$.
Explanation
The diameter is 10 ft, so r = 5 ft. With h = 6 ft, $V = \pi \times 5^2 \times 6 = 150\pi\text{ ft}^3$.
Question 5
Points: 1
A wooden toy block is in the shape of a cylinder. The toy block has a height of 4 inches and a diameter of 3 inches. How much does the toy block weigh if 1 cubic inch of wood weighs 0.55 ounce? Round to the nearest tenth.
Here are more quizzes for الصف الثامن by الفصل الثالث and subject رياضيات
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