Mathematics, 17.04.2020 00:06 brazilmade1

What is the volume of a hemisphere with a radius of 9.8in, rounded to the nearest tenth of a cubic inch?

Answers: 3

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Answer from: mathwiznot45

Given:

Given that the radius of the hemisphere is 9.8 inches.

We need to determine the volume of the hemisphere.

Volume of the hemisphere:

The volume of the hemisphere can be determined using the formula,

$V=\frac{2}{3} \pi r^3$

where r is the radius of the hemisphere.

Substituting r = 9.8 in the above formula, we get;

$V=\frac{2}{3} (3.14)(9.8)^3$

Simplifying, we get;

$V=\frac{2}{3} (3.14)(941.192)$

$V=\frac{5910.69}{3}$

V=1970.23

Rounding off to the nearest tenth, we get;

$V=1970.2 \ in^3$

Thus, the volume of the hemisphere is 1970.2 cubic inches.

Answer from: kayal1076

The volume of a hemisphere is 1971.23 cubic inches, if a radius of a hemisphere is 9.8 inches.

Step-by-step explanation:

The given is,

Radius of hemisphere is 9.8 inches.

Step:1

Formula of volume of hemisphere is,

$V_{Hemisphere} = \frac{2}{3} \pi r^{3}$ ..................(1)

Where,

r - Radius of hemisphere

Step:2

From the given,

r = 9.8 inches

Equation (1) becomes,

$V_{Hemisphere} = \frac{2}{3} \pi (9.8)^{3}$

= $\frac{2}{3} \pi (942.192)$

= $\frac{2}{3} (3.1415) (942.192)$ $(\pi =3.1415)$

= (0.66666666)(3.1415)(942.192)

= 1971.23

Volume of hemisphere = 1971.23 cubic inches

Result:

The volume of a hemisphere is 1971.23 cubic inches, if a radius of a hemisphere is 9.8 inches.

Answer from: Quest

answer: it would most likely be y=6 and 5/7.

step-by-step explanation:

Answer from: Quest

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What is the volume of a hemisphere with a radius of 9.8in, rounded to the nearest tenth of a cubic i...