From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus $\frac{1}{2}$ the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of $\frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3$ .

Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.

The ABKJ is a trapezoid so it's area is $\frac{1}{2}(AJ + BK) \cdot AB$ . Thus the volume of the right prism is $\frac{1}{2}(AJ + BK) \cdot AB \cdot AE$ . This gives us $\frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600$ , and thus h = 30 cm.

3 0

1 year ago

Of the 60 books on a bookshelf, 24 are nonfiction. what percent of the books are nonfiction

mel-nik [20]

40 percent.

Hope it helped! :)

7 0

2 years ago