Volume of Cone
What is the formula to find the volume of a cone?
V = 1/3πr^2h
What is the formula to find the volume of a sphere?
V = 4/3πr^3
What is the formula to find the surface area of a sphere?
SA = 4πr^2
What is the formula to find the volume of a pyramid?
V = 1/3lwh
7) Justin has a pyramid-shaped trophy that has a square-base. Each edge of the base is 4 inches and the trophy has a height of 12 inches. How much metal is needed to create the trophy? Show your work.
V = 64 in^3
Find the volume of a cone:
r = 4 yd
h = 7 yd
Use 3.14 for π. Round to the nearest hundredth (two decimal places)
V = 117.23 yd^3
1) A sphere has a radius of 7.5 ft. What is the volume of the sphere? Use 3.14 for π.
V = 1766.25 ft^3
4) What is the surface area of the sphere in terms of π?
diameter = 7 ft
SA = 49π ft^2
2) Find the volume of the pyramid:
L = 8 cm
W = 8 cm
H = 9 cm
192 cm^3
8) Hanny is scooping ice cream into some cones. She is only filling the cone-shape, she isn't adding any ice scream on top. The cones she is using have a height of 6 inches and a diameter of 4 inches. How much ice cream is needed to fill five ice cream cones? Show your work.
V = 25.12 in^3
3) A cone has a diameter of 10 ft and a height of 3.24 ft. What is the volume of the cone rounded to the nearest tenth. Use. 3.14 for π.
84.8 ft^3
Hanny's ice cream scoop has a diameter of 24 mm. How much ice cream can it scoop at once? Use 22/7 for π. Round your answer to the nearest tenth.
V = 7241.1 mm^3
Find the surface area of a sphere with a diameter of 24 mm. Leave your answer in terms of pi.
SA = 576π mm^2
5) A pyramid with a square base has a volume of 363 cubic yards and a height of 9 yards.
Part A - What is the area of the base?
Part B - What is the length of one side of the base?
Part A = 121 yd^2
Part B = 11 yd
6) A chocolate treat has a spherical shape. The surface area of this treat is 900π square millimeters. About how much filling, in cubic millimeters, can the chocolate treat hold if filled to capacity?
V = 14130 mm^3