V= type your answer.y. cm3Account21 pointDashbuandWorkbook Question \#2An oblique cylinder with a base of radius 2 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment AB which has length 62 units. The segment AB forms a 45∘ angle with the plane of the base. What is the volume of the cylinder? Round to the nearest 10thCalendar2国3(1)45Masten:678V=106.9cm3Resources31 point
Q. V= type your answer.y. cm3Account21 pointDashbuandWorkbook Question \#2An oblique cylinder with a base of radius 2 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment AB which has length 62 units. The segment AB forms a 45∘ angle with the plane of the base. What is the volume of the cylinder? Round to the nearest 10thCalendar2国3(1)45Masten:678V=106.9cm3Resources31 point
Given Data: To find the volume of a cylinder, we use the formula V=πr2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. In this case, the radius r is given as 2 units, and the height h is given as 62 units.
Calculate Radius Squared: First, we square the radius: r2=(2)2=4.
Calculate Height: Next, we calculate the height in terms of units: h=62. This value is already in the correct form, so no further calculation is needed for the height.
Substitute Values: Now, we can substitute the values of r2 and h into the volume formula: V=π×4×62.
Perform Multiplication: Perform the multiplication to find the volume: V=π×4×62=24π2.
Round to Nearest Tenth: To round to the nearest tenth, we need to use a calculator to approximate the value of 24π2.
Approximate Value: Using a calculator, we find that 24π2≈106.9 when rounded to the nearest tenth.