Question

5 multiple choice 1 point the volume of a cylinder is 474.2 cm³. if the area of the base is 4.742 cm², what is the height? 1 cm 100 cm 10 cm 0.1 cm 6 multiple choice 1 point what is the area of the triangle? 32 cm² 16 cm² 6 cm² 24 cm²

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume formula of a cylinder is \(V = S\times h\), where \(V\) is the volume, \(S\) is the base - area, and \(h\) is the height.

Step2: Solve for the height \(h\)

We know that \(V = 474.2\mathrm{cm}^3\) and \(S=4.742\mathrm{cm}^2\). From \(h=\frac{V}{S}\), substituting the values: \(h=\frac{474.2}{4.742}\).

$$h = 100\mathrm{cm}$$

Step3: Recall the formula for the area of a right - triangle

The area formula of a triangle is \(A=\frac{1}{2}\times base\times height\). For a right - triangle, the two legs can be considered as the base and the height. Here, \(base = 8\mathrm{cm}\) and \(height = 4\mathrm{cm}\).

Step4: Calculate the area of the right - triangle

Substitute the values into the formula: \(A=\frac{1}{2}\times8\times4\).

$$A=\frac{1}{2}\times32 = 16\mathrm{cm}^2$$

Answer:

1. \(100\mathrm{cm}\)
2. \(16\mathrm{cm}^2\)