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2 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth

Mathematics

1 answer:

WITCHER [35]2 years ago

7 0

Answer:

1130.4 cubic meters

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

The composite solid has two cones:

The height of the big cone is: 12 m
The height of the small cone is: 18
The radius of the common base of the two cones is: 6 m

=> the volume of the big cone is:

V = (1/3)π $r^{2}$ ·h = (1/3)*3.14* $6^{2}$ *18 = 678.24 cubic meters

=> the volume of the small cone is:

V = (1/3)π $r^{2}$ ·h = (1/3)*3.14* $6^{2}$ *12 = 452.16 cubic meters

=> the volume of the composite solid :

= 678.24 + 452.16

=1130.4 cubic meters

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If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers

seraphim [82]

Answer:

a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

$\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}$

<h2>Simplify it in steps:</h2>

Bring both fractions into common denominator:

$\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}$

Simplify:

$\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =$

$\dfrac{4\sqrt{14} }{7-4} =$

$\dfrac{4}{3} \sqrt{14} }$

Compare the result with given expression to get:

a = 4/3 and b = 0

4 0

1 year ago

in 10 minutes a heart beats 700 time how many minutes will a heart beat 140 times? At what rate can a heart beat?

posledela

Answer:

A heart will beat 140 times in 2 minutes

Step-by-step explanation:

700 ÷ 10 = 70

140 ÷ 70 = 2

5 0

2 years ago

A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density

saveliy_v [14]

Answer:

172.83 kg

Step-by-step explanation:

A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.

The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:

Density = Mass / volume

The volume of a cylinder is given as:

V = πr²h

V = π × (0.3)² × 0.75 = 0.212 m³

Density = Mass/ volume

Mass = Density × Volume

Mass = 815 kg/m³ × 0.212 m³

Mass = 172.83 kg

6 0

2 years ago

(FIRST PERSON TO ANSWER GETS BRAINLIEST!!!) A student earned $2500.75 at his summer job making $12.50 per hour. Let h represent

laiz [17]

<u>Answer:</u>

$12.50 \space\ h = 2500.75$

<u>Step-by-step explanation:</u>

We know from the question that the student earned $12.50 <em>per hour</em>.

Using this information, we can say that if the student worked for <em>h </em>hours, they would make a total of 12.50 × <em>h </em>dollars.

We also know that the total money they earned is $2500.75.

∴ Therefore, we can set up the following equation:

$\boxed {12.50 \times h = 2500.75}$

From here, if we want to, we can find the number of hours worked by simply making <em>h</em> the subject of the equation and evaluating:

<em>h </em>=<em> </em> $\frac{2500.75}{12.50}$

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5 0

1 year ago

Read 2 more answers

On a field trip they take busses and vans. Each bus holds 60 people and each van holds 10 people. If 390 people went on the trip

riadik2000 [5.3K]

Answer:

6 buses and 3 vans

Step-by-step explanation:

5 0

3 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth​

Find the volume of the composite solid. Round your answer to the nearest tenth