If a hemispherical sphere has a diameter of about 6 cm, find it's volume and curved surface area?

Answer 1

Volume of a sphere is 4(pi)r^3/2.
4(3.14)3^3
= 12.64(27)
= 341.28 divide by 2, since the shape is a hemisphere.
= (so it comes out as) [170.64 sq. cm] (only an estimate, since the diameter is about, and 3.14 is only a rounded decimal.)
For Surface Area of the curved part, just take the Surface Area as if it were the whole sphere, then divide it by 2.
Surface Area of a Sphere is 4(pi)r^2.
4(3.14)3^2
=12.64(3)^2
=12.64(9)
=113.76 (divide in half again, since its Surface Area of a hemisphere and not a sphere)
113.76/2= 56.88cm (also an estimate, for the reason above from the last problem.)

Answer 2

Volume of a sphere formula

v= 4/3 π r³

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caculating volume of a sphere Method 1

v = 4/3 π r

4/3 = 1.333333333

v =1.333333333(3.141592654)3³

v =1.333333333(3.141592654(27)

v = 4.188790204(27)

Multiplying 1.333333333 times 3.141592654=4.188790204


v = 113.0973355

v = 113.09 cm

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caculating volume of a sphere Method 2

v= 4/3 π r³

v = 4/3(3.141592654)(3³)

v = 4/3(3.141592654)(27)/3

3 x 3 x 3 = 27

v = 12.56637061(27)/3

Multiplying 4 times 3.141592654 = 12.56637061

v = 339.2920066/3

v = 113.0973355

v = 113.09 cm rounded to two decimal places

The answer is 113.09 cm

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Solving for the surface area of a sphere

Formula

s = 4 π r²

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s = 4(3.141592654)(3²)

S = 4(3.141592654(9)

3² = 9 or 3 x 3x 3 = 9

s= 12.56637061(9)

Multiplying 4 times 3.141592654 equals 12.56637061

s = 133.0973355cm

s = 113.09 cm rounded to two decimal places

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It appears that the volume and the surface area of a sphere are the same.

Answer 3

Given diameter D = radius(R)/2 if Sphere quantity = 4/3(pi)r^3 in case you substitute r for 2r ( because of fact it doubled. ) it provides you with a quantity 8 cases larger than the previous. if sphere floor section = 4(pi)r^2. substitute r for 2r. it provides you with a floor section 4 cases larger than previous,. :D

Answer 4

HAHAHAHAHAHA A hemispherical sphere, that's great!