Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
Answers
Correct Question.
Find the volume of the sphere.
Radius of a sphere is 7 cm.
Either enter an exact answer in terms of π or use 22/7 start fraction 22 divided by 7, end fraction for π.
As we know that,
Formula of :
Volume of sphere = 4/3πr³.
Using this formula in this question, we get.
⇒ 4/3 x 22/7 x 7 x 7 x 7.
⇒ 4/3 x 22 x 7 x 7.
⇒ (4 x 22 x 49)/(3).
⇒ (88 x 49)/(3).
⇒ (4312)/(3).
⇒ 1437.3 cm³.
∴ Volume of the sphere is 1437.3 cm³.
MORE INFORMATION.
Cuboid :
Volume of cuboid = L x B x H.
Total surface area of cuboid = 2(lb + bh + hl).
Lateral surface area of cuboid = 2(l + b) x h.
Cube :
Volume of cube = a³.
Lateral surface area of cube = 4a².
Total surface area of cube = 6a².
Cylinder :
Volume of cylinder = πr²h.
Curved surface area of cylinder = 2πrh.
Total surface area of cylinder = 2πr(r + h).
Cone :
Volume of cone =1/3πr²h.
Curved surface area of cone = πrl.
Total surface area of cone = πr(r + l).
Hemisphere :
Volume of hemisphere = 2/3πr³.
Curved surface area of hemisphere = 2πr².
Total surface area of hemisphere = 3πr².
Sphere :
Volume of sphere = 4/3πr³.
Surface area of sphere = 4πr².
Complete Question: Radius of a sphere is 7cm. Either enter an exact answer in terms of π or use 22/7. Start fraction 22 divided by 7, end function for π. Find the volume of the sphere.
The correct answer is: 1,437.3 cm³.
Given: Radius of a sphere is 7cm. Either enter an exact answer in terms of π or use 22/7. Start fraction 22 divided by 7, end function for π.
To Find: The volume of the sphere.
Solution:
We know,
Volume of sphere = 4/3πr³
= 4/3 × 22/7 × (7)³
= (4 × 22 × 7 × 7 × 7)/(3 × 7)
= (4 × 22 × 49)/3
= 4,312/3
= 1,437.3
Therefore, Volume of the sphere is 1,437.3 cm³.
Additional Information:
- Sphere:
Volume of sphere = 4/3πr³
Surface area of sphere = 4πr²
- Cuboid:
Volume = Length (L) × Breadth (B) × Height (H)
Lateral Surface area = 2(L + B)H
Total Surface Area = 2(LB + BH + HL)
- Cube:
Volume = a³
Lateral Surface area = 4a²
Total Surface Area = 6a²
- Cylinder:
Volume = πr²h
Lateral Surface area = 2πrh
Total Surface Area = 2πr(r + h)
- Cone:
Volume = 1/3πr²h
Lateral Surface area = πrl
Total Surface Area = πr(r + l)
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