7) Calculate the volume of the sphere, both in terms of p & to the nearest tenth, in which r= 3 in
Question
7) Calculate the volume of the sphere, both in terms of & to the nearest tenth, in which in.
Solution
The volume of a sphere is given by the formula V = 4/3 * π * r³.
Step 1: Substitute the given radius (r = 3 in) into the formula.
V = 4/3 * π * (3 in)³
Step 2: Calculate the cube of the radius (3³ = 27).
V = 4/3 * π * 27 in³
Step 3: Multiply the values.
V = 36π in³
This is the volume of the sphere in terms of π.
Step 4: To find the volume to the nearest tenth, we need to multiply 36 by the value of π (approximately 3.14159).
V = 36 * 3.14159 in³
Step 5: Calculate the product.
V ≈ 113.097 in³
So, the volume of the sphere is 36π in³ or approximately 113.1 in³ to the nearest tenth.
Similar Questions
7) Calculate the volume of the sphere, both in terms of p & to the nearest tenth, in which r= 3 in
A solid sphere is cut into 6 equal wedges. The volume of each wedge is V = 2992 πr3. Solve the formula for r.
Given a sphere with radius r, the formula 4r2 gives _____.A.the volumeB.the surface areaC.the radiusD.the cross-sectional area
A sphere with a radius of 1.7 cm has a volume ofGroup of answer choices9.1 × 10–4 m33.6 × 10–3 m30.11 m32.1 × 10-5 m321 m3
Find the surface area of the sphere, to the nearest tenth. Use 3.14 for p. r = 6 m
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.