oze","front":"The units for volume are [ ] units, such as $\\text{cm}^3$ or $\\text{m}^3$.","back":"The units for volume are cubic units, such as $\\text{cm}^3$ or $\\text{m}^3$.","points":null},{"id":"5d006f85-6823-465d-a399-34a5fc8426c9","cardType":"cloze","front":"The units for volume are cubic units, such as $\\text{[...]}$ or $\\text{m}^3$.","back":"The units for volume are cubic units, such as $\\boxed{\\text{cm}^3}$ or $\\text{m}^3$.","points":null},{"id":"08e59de3-e18c-404a-83d2-88b85de8a427","cardType":"basic","front":"In the formula $V = \\pi r^2 h$, what does the term $\\pi r^2$ represent?","back":"The area of the circular base.","points":1},{"id":"fc77a1e7-4867-409f-8b08-2b5d0368a20c","cardType":"basic","front":"What does it mean to give an answer \"in terms of $\\pi$\"?","back":"Do not calculate a decimal; leave the symbol $\\pi$ in the final result.","points":1},{"id":"18cb7651-f468-4bfa-bbbd-f3893e7fd340","cardType":"basic","front":"State the formula for the total surface area (TSA) of a solid closed cylinder.","back":"$$\\text{TSA} = 2\\pi r^2 + 2\\pi rh$","points":1},{"id":"0f99d166-d38a-4592-a153-78e13ac1dcd8","cardType":"basic","front":"When a cylinder's curved surface is \"unwrapped\", what shape does it form?","back":"A rectangle.","points":1},{"id":"8f14ca00-1006-4b6b-8d45-2d2b02ab64be","cardType":"basic","front":"What are the dimensions of the rectangle formed by unwrapping a cylinder's curved surface?","back":"

Width: circumference ($2\\pi r$)
Height: cylinder height ($h$)

","points":2},{"id":"fb89eb09-8fb0-4d4a-81dc-f3bfdc783bbe","cardType":"cloze","front":"The surface area of a [ ] cylinder includes two circular ends and one curved surface.","back":"The surface area of a closed cylinder includes two circular ends and one curved surface.","points":null},{"id":"425948f0-0ff5-4d60-8f37-deb09e22dbb2","cardType":"cloze","front":"The surface area of a closed cylinder includes [ ] circular ends and one curved surface.","back":"The surface area of a closed cylinder includes two circular ends and one curved surface.","points":null},{"id":"617a9b69-3c82-4253-84e9-2657d9e40a3e","cardType":"basic","front":"How do you calculate the volume of a semi-cylinder?","back":"Calculate the volume of a full cylinder and halve it ($V = \\frac{1}{2}\\pi r^2 L$).","points":1},{"id":"d550ed59-a3a3-459e-9666-47de1c5a2830","cardType":"basic","front":"Which three distinct parts make up the total surface area of a solid semi-cylinder?","back":"

Two semi-circular ends (making one full circle)
Half the curved surface
The flat rectangular face

","points":3},{"id":"589052e6-7bc1-45aa-b92e-58e6c16a4449","cardType":"basic","front":"For a semi-cylinder with radius $r$ and length $L$, what are the dimensions of the flat rectangular face?","back":"Diameter ($2r$) by length ($L$).","points":2},{"id":"a3db35a1-c8d2-42a4-a197-43df12e50b7a","cardType":"basic","front":"What is the final step when solving for a missing radius $r$ if the formula yields $r^2 = 49$?","back":"Take the square root (e.g. $\\sqrt{49} = 7$).","points":1},{"id":"e31c028d-0b40-4f05-a6e2-1ff1f67b713d","cardType":"basic","front":"How many $\\text{cm}^3$ are in 1 litre?","back":"1000 $\\text{cm}^3$","points":1},{"id":"07500eab-5de6-4da1-9d4d-551769a1aa98","cardType":"cloze","front":"When converting area units, $1 \\text{ m}^2 = \\text{[...]} \\text{ cm}^2$.","back":"When converting area units, $1 \\text{ m}^2 = \\boxed{10,000} \\text{ cm}^2$.","points":null},{"id":"2adfb4c4-

Cylinders Flashcards

Cylinders Flashcards

Cylinders Flashcards

Cylinders Flashcards