Answer:
Find the slant height of a cone with surface area 381.77 ft² and radius 6.2 ft.
O = pi·r^2 + pi·r·s --> s = O/(pi·r) - r = 381.77/(pi·6.2) - 6.2 = 13.40 ft
Find the height of a square pyramid with volume 96 m³ and dimensions of base are 9 m by 9 m.
V = 1/3·a^2·h --> h = 3·V/a^2 = 3·96/9^2 = 32/9 = 3.556 m
Find the height of a cone with volume 4034.66 cm³ and radius 13 cm.
V = 1/3·pi·r^2·h --> h = 3·V/(pi·r^2) = 3·4034.66/(pi·13^2) = 22.80 cm
Find the length of the radius of a sphere with a surface area of 5541.77 cm².
O = 4·pi·r^2 --> r = √(O/(4·pi)) = √(5541.77/(4·pi)) = 21.00 cm