اختبار اختيار من متعدد 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.
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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Find the volume of the cylinder shown in the image. Round to the nearest tenth.
Explanation
The pink segment in the image shows the radius, so r = 7 cm and h = 20 cm. Using V = πr²h: V = 3.14 × 7² × 20 = 3,077.2 cm³. Therefore, the correct answer is 3,077.2 cm³.
Question 2
Points: 1
Find the volume of the cylinder shown in the image. Round to the nearest tenth.
Explanation
Assuming the given dimension of 8 ft is the diameter, the radius would be r = 4 ft. Using the cylinder volume formula V = πr²h: V = 3.14 × 4² × 9 = 452.2 ft³.
Question 3
Points: 1
Find the volume of the cylinder shown in the image. Express your answer in terms of $\pi$.
Explanation
In the image, 8 in. is the diameter of the circular base, so the radius is 4 in. The cylinder length is 12 in. Using V = πr²h: V = π × 4² × 12 = 192π in³. Therefore, the correct answer is 192π in³.
Question 4
Points: 1
Find the volume of the cylinder shown in the image. Express your answer in terms of $\pi$.
Explanation
In the image, 10 ft is the diameter of the circular base, so the radius is 5 ft. The height is 6 ft. Using V = πr²h: V = π × 5² × 6 = 150π ft³. Therefore, the correct answer is 150π ft³.
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.
Explanation
The diameter is 3 inches, so the radius is 1.5 inches. The height is 4 inches. Volume = π × 1.5² × 4 = 9π ≈ 28.3 in³. Since each cubic inch weighs 0.55 ounce, the weight is 28.3 × 0.55 ≈ 15.6 ounces. Therefore, the correct answer is 15.6 ounces.
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