3 years ago

Which of the following is equivalent to 10 3/2?

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

6 0

Answer:

D) $\sqrt{10^3}$

slava [35]3 years ago

4 0

Answer:

Step-by-step explanation:

Raising a number to a power in fraction simply means getting the appropriate root of the number. Hence,

${10}^{3 \times \frac{1}{2} } \\ \sqrt{ {10}^{3} }$

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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup

mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = $\frac{2.5}{2}=1.25$

Height of can = $2.5\times 3=7.5$

The volume of sphere is

$V=\dfrac{4}{3}\pi r^3$

where, r is radius of sphere.

The volume of a tennis balls is

$V=\dfrac{4}{3}\pi (1.25)^3$

$V=8.18123$

$V\approx 8.18$

Volume of three tennis balls is

$V_1=3\times 8.18=24.54$

The volume of cylinder is

$V=\pi r^2h$

The volume of can is

$V_2=\pi (1.25)^2(7.5)$

$V_2=36.81553$

$V_2\approx 36.82$

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

= 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

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Answer:

A= 3,B = 2

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