FINDING THE VOLUME OF A SPHERE WORKSHEET
About "Finding the volume of a sphere worksheet"
Finding the volume of a sphere worksheet :
Worksheet given in this section is much useful to the students who would like to practice problems on volume of a sphere.
Finding the volume of a sphere worksheet - Problems
1. Find the volume of the sphere given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of ∏, that is 3.14.
2. Find the volume of the sphere given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of ∏, that is 3.14.
3. Find the volume of the sphere given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of ∏, that is 3.14.
Finding the volume of a sphere worksheet - Solution
Problem 1 :
Find the volume of the sphere given below. Round your answer to the nearest tenth, if necessary. Use the approximate of value of ∏, that is 3.14.
Solution :
Step 1 :
Write the formula to find volume of a sphere.
V = 4/3 · ∏r³
Step 2 :
Substitute the given measures.
V ≈ 4/3 · 3.14 · 2.2³
Simplify.
V ≈ 4/3 · 3.14 · 10.648
V ≈ 44.6
Hence, the volume of the given sphere is about 44.6 cubic cm.
Problem 2 :
Find the volume of the sphere given below. Round your answer to the nearest tenth, if necessary. Use the approximate of value of ∏, that is 3.14.
Solution :
Step 1 :
Write the formula to find volume of a sphere.
V = 4/3 · ∏r³ ----- (1)
Step 2 :
To find the volume, we need the radius of the sphere. But, the diameter is given, that is 42 cm. So, find the radius.
r = diameter / 2
r = 42/2
r = 21
Step 3 :
Plug ∏ ≈ 3.14 and r = 21 in (1).
V ≈ 4/3 · 3.14 · 21³
Simplify.
V ≈ 4/3 · 3.14 · 9261
V ≈ 38,772.7
Hence, the volume of the given sphere is about 38,772.7 cubic cm.
Problem 3 :
Find the volume of the sphere given below. Round your answer to the nearest tenth, if necessary. Use the approximate of value of ∏, that is 3.14.
Solution :
Step 1 :
Write the formula to find volume of a sphere.
V = 4/3 · ∏r³ ----- (1)
Step 2 :
To find the volume, we need the radius of the sphere. But, the height is given, that is 12 cm.
We know that the height of a sphere equals twice the radius.
That is,
h = 2r
Plug h = 12.
12 = 2r
Divide both sides by 2.
12/2 = 2r/2
6 = r
Step 3 :
Plug ∏ ≈ 3.14 and r = 6 in (1).
V ≈ 4/3 · 3.14 · 6³
Simplify.
V ≈ 4/3 · 3.14 · 216
V ≈ 904.3
Hence, the volume of the given sphere is about 904.3 cubic cm.
After having gone through the stuff given above, we hope that the students would have understood "Finding the volume of a sphere worksheet".
Apart from the stuff given above, if you want to know more about "Finding the volume of a sphere", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
