Question

A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.


Determine the approximate volume of the solid. Use 3.14 for pi. cm3

Answer 1

Answer:

Volume of the solid is 377 cm³.

Step-by-step explanation:

Volume of the cylinder = $\pi r^{2}h$

Here, r = radius of the cylinder

h = Height of the cylinder

By substituting the values in the formula, (r = 4 cm and h = 10 cm)

Volume of the cylinder = $\pi (4)^2(10)$

                                      = 160π

Since one fourth of the cylinder is removed,

Volume of the remaining cylinder = 160π - $\frac{160\pi }{4}$

                                                        = 160π - 40π

                                                        = 120π

                                                        = 120(3.14)

                                                        = 376.8 cm³

                                                        ≈ 377 cm³

Volume of the solid is 377 cm³.