Answer:
please see answers below
Explanation:
Area of circle = π r ²
Circumference = π X D (D = diameter = 2 X radius)
Volume of sphere = (4/3) X π X r ³
Volume of prism = area of cross-section X length
Volume of cylinder (questions 6 and 7 are cylinders) = π r ² h
In a right-angled triangle, a ² + b ² = c ²
6) π (16) ² X 14 = 11259.47 in³
7) Diameter² = 40² - 32²
Diameter = √(40² - 32²) = 24. Radius = 12.
Volume = π (12)² X 32 = 14476.46 mm³
8) volume = 8 X 12 X 39 = 3744 ft³
9) cross-section (triangle) = 1/2 X 5.4 X 11 = 29.7
Volume = 29.7 X 16 = 473.6mm³
10) radius = 33/2 = 16.5
volume = (4/3) π (16.5)³ = 18816.57cm³
11) volume = (4/3) π (2.8)³ = 91.95m³