Question
empt mins 10 days ago Bookwork code: Report issue with this quest volume of a sphere=(4)/(3)pi r^3 where I is the radius. Zinc has a density of 7.135g/cm^3 How many kilograms would a sphere of zinc with a radius of 8 cm weigh? Give your answer to 1 d.p
Answer
4.4
(215 Votes)
Felix
Elite · Tutor for 8 years
Answer
The weight of the sphere of zinc is approximately
.
Explanation
## Step 1:The volume of a sphere can be calculated using the formula:### **
**where
is the volume,
is a constant (approximately 3.14159), and
is the radius of the sphere.## Step 2:Substitute the given radius
into the formula to calculate the volume.### **\(V = \frac{4}{3} \pi (8)^3\)**### **\(V = \frac{4}{3} \pi (512)\)**### **
**### **
**### **
**## Step 3:Zinc has a density of
. The mass
of the sphere can be calculated using the formula:### **
**### **
**### **
**## Step 4:Convert the mass from grams to kilograms by dividing by 1000.### **
**### **
**## Step 5:Round the result to 1 decimal place as required.### **
**