# Sphere VS

Find the surface and volume of a sphere that has a radius of 2 dm.

Result

S =  50.265 dm2
V =  33.51 dm3

#### Solution:

$r=2 \ \text{dm} \ \\ \ \\ S=4 \pi \cdot \ r^2=4 \cdot \ 3.1416 \cdot \ 2^2 \doteq 50.2655 \doteq 50.265 \ \text{dm}^2$
$V=\dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r^3=\dfrac{ 4 }{ 3 } \cdot \ 3.1416 \cdot \ 2^3 \doteq 33.5103 \doteq 33.51 \ \text{dm}^3$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

## Next similar math problems:

1. Volume of ball
Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
2. Spheres in sphere
How many spheres with a radius of 15 cm can fits into the larger sphere with a radius of 150 cm?
3. Observatory
Observatory dome has the shape of a hemisphere with a diameter d = 16 m. Calculate the surface.
4. Fit ball
What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
5. Half-sphere roof
The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is the cost of this roof, if the cost of 1 square meter is 12 euros and 40 cents?
6. Inscribed
Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
7. Cube walls
Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
8. Volume of the cone
Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm
9. The volume
The volume of a solid cylinder is 260 cm3 the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid
10. Cuboid - simple
Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm and c = 6 cm.
11. Greenhouse
Garden plastic greenhouse is shaped half cylinder with a diameter of 6 m and base length 20 m. At least how many m2 of plastic is need to its cover?
12. Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm and height v = 8 cm.
13. Down syndrome
Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.
14. Conference
148 is the total number of employees. The conference was attended by 22 employees. How much is it in percent?
15. Sales off
Goods is worth € 70 and the price of goods fell two weeks in a row by 10%. How many % decreased overall?
16. Simplify 2
Simplify expression: 5ab-7+3ba-9
17. Class
In a class are 32 pupils. Of these are 8 boys. What percentage of girls are in the class?