Geo Chap 9 (New) Review

Front

What is the formula for calculating the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for calculating the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the definition of volume in geometry?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

What is the definition of surface area in geometry?

Back

Surface area is the total area of the surface of a three-dimensional object, measured in square units.

Front

Find the volume of a cylinder with a radius of 3 ft and a height of 7 ft.

Back

Volume = π(3 ft)²(7 ft) = 63π ft³ ≈ 197.82 ft³.

Front

Find the surface area of a cylinder with a radius of 3 ft and a height of 7 ft.

Back

Surface Area = 2π(3 ft)(7 ft + 3 ft) = 60π ft² ≈ 188.5 ft².

Front

What is the volume of a rectangular prism with length 5 m, width 4 m, and height 3 m?

Back

Volume = length × width × height = 5 m × 4 m × 3 m = 60 m³.

Front

What is the surface area of a rectangular prism with length 5 m, width 4 m, and height 3 m?

Back

Surface Area = 2(lw + lh + wh) = 2(5 m × 4 m + 5 m × 3 m + 4 m × 3 m) = 94 m².

Front

What is the formula for calculating the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the formula for calculating the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.