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3 years ago

Solve..... 2(3-p) - 17 = 30

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

See the step by step

Answer P:-20.5

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A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr

In-s [12.5K]

Answer:

Option c.) the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.

Step-by-step explanation:

step 1

Find the volume of one ball

The volume of the sphere is equal to

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

we have

$r=1.5\ in$

$V=\frac{4}{3}(3.14)(1.5)^{3}=14.13\ in^{3}$

therefore

The volume of two balls is

$(2)*14.13=28.26\ in^{3}$

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=1.5\ in$

$h=1.5*4=6\ in$

substitute

$V=(3.14)(1.5)^{2}(6)=42.39\ in^{3}$

therefore

The wasted space with the cylinder is equal to

$42.39\ in^{3}-28.26\ in^{3}=14.13\ in^{3}$

step 3

Find the volume of the square prism

The volume of the square prism is equal to

$V=b^{2}h$

we have

$b=1.5*2=3\ in$

$h=1.5*4=6\ in$

substitute

$V=(3)^{2}(6)=54\ in^{3}$

therefore

The wasted space with the prism is equal to

$54\ in^{3}-28.26\ in^{3}=25.74\ in^{3}$

step 4

Find the difference of the wasted space

$25.74\ in^{3}-14.13\ in^{3}=11.61\ in^{3}$

3 0

2 years ago

Read 2 more answers

Joseph drove for 3 hours at the speed of 40 km/h (kilometers

bezimeni [28]

Answer:

250 km.

Step-by-step explanation:

Alright, so for this problem we can split it into two parts. Since distance = speed*time, the first 3 hours give us 3*40 or 120 km, and the last 2 hours give us 2*65, or 130 km. Adding these together, we get a final distance of 250 km.

7 0

2 years ago

A triangle has a length of 6cm,8cm,and 10cm what is the area of this triangle in cm cubed

notsponge [240]

Answer: 24 cm^2 (24 centimeters squared)

Step-by-step explanation:

6^2 + 8^2 = 36 + 64 = 100 = 10^2

(1/2)*6*8 = 24 cm^2.

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2 years ago

I need help finding the answer

11111nata11111 [884]

Answer:

Step-by-step explanation:

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2 years ago

Bags of sweets cost £3.75

Pachacha [2.7K]

The answer would be rounded by 7

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2 years ago