The correct question is;
Find the height for each solid given the volume as follows:
4. A cone with a volume of 238cm³ with radius = 4cm
5. A cylinder with volume = 424 in³ Radius= 4in and Radius = 8in
6. Find the radius of a sphere if the volume is 362 in.
Answer:
1.h ≈ 14.2 cm
2. For radius of 8 inches, height = 2.11 in
For radius of 4 inches, height = 8.44 in
3.r = 9.48 in
Explanation:
1) a cone with a volume of 238cm
Formula for volume of a cone is;
V = ⅓πr²h
Radius = 4cm
So,238 = ⅓π × 4² × h
h = (238 × 3)/(16 × π)
h ≈ 14.2 cm
2) Volume of cylinder is given as;
V = πr²h
Radius, r = 8 in and volume,V = 424 in³
Thus, h = V/πr²
h = 424/(π × 8²)
h = 2.11 in
For a radius of 4 in, h = 424/(π × 4²)
h = 8.44 in
3)volume of sphere is;
V = (4/3)πr³
r³ = 3V/4π
r = ∛(3V/4π)
We are given that volume = 362 in³
So, r = ∛(3*362/4π)
r = 9.48 in