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tatuchka [14]
3 years ago
6

AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Formula for the volume of cone is \frac{1}{3} \pi r^2h

Where r= radius of the cone

h = height of the cone

The value of pi is 3.14

Given volume of larger cone is 131 cm^3

Volume of larger cone = \frac{1}{3} \pi r^2h

131 = \frac{1}{3} \pi 5^2h

Solve for h

131 = 26.1667 *h

So h= 5 cm

The height of bigger cone = 5cm

Now we find the volume of smaller cone

Two cones similar so the sides are in proportional

\frac{radius(small)}{radius(large)}=  \frac{height(small)}{height(large)}

\frac{2}{5} =\frac{ height of small}{5}

Height of smaller cone = 2cm

volume of smaller cone = \frac{1}{3} \pi 2^2*2

= 8.38cm^3

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What is the volume of a come that has a height of 40 millimeters and a diameter of 25 millimeters? Use 3.14 for pi.
Fantom [35]

Answer:

6541.7 mm³ (nearest tenth)

Step-by-step explanation:

\boxed{volume \: of \: cone =  \frac{1}{3}\pi {r}^{2}h  }

Given that the height is 40mm, h= 40mm.

Diameter= 2(radius)

Radius of cone

= 25 ÷2

= 12.5mm

Volume of cone

=  \frac{1}{3} (3.14)(12.5)^{2} (40)

= 6541.7 mm³ (nearest tenth)

3 0
2 years ago
Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?​
Readme [11.4K]

Answer:

32000 tonnes

Step-by-step explanation:

Given there was a 20% reduction last year from a total of 40000 tonnes .

20% /100% x 40000

0.2 x 40000

8000tonnes

Therefore, previous year’s excerpt = 40000 - 8000

32000tonnes

6 0
2 years ago
Taxes on the property buyer Tamara is purchasing are $8,200, due on December 31. If the closing is set for June 29th, using the
rosijanka [135]

The buyer will be paying taxes for 185 days, so will pay

... (185/365)·$8200 = $4156

Your most appropriate choice seems to be $4178, which corresponds to 186 days' taxes.

_____

There are 30 days in each month in the last half of the year, plus 1 additional day in each of July, August, October, and December. The 30th of June also belongs to the buyer (but the 29th, closing day, does not), so there are 180+5 = 185 days for which the buyer must pay taxes. The answer choices don't include that value.

3 0
2 years ago
A division problem divides a 3-digit number by a 1 digit number. The quotient is 307 r3. What could the division problem be?
Tanya [424]

Answer:

There is no solution to this problem.

Step-by-step explanation:

The 1 digit number cannot be 1, since there would be no remainder.

The 1 digit number cannot be 2, since the remainder could be 0 or 1.

The 1 digit number cannot be 3, since the remainder could be 0, 1, or 2.

So, the 1 digit number must be greater than 3.  Let's start with 4.  Since the quotient is 307 (remainder 3), 4 x 307 is already more than 3 digits.

5 0
3 years ago
Help!! Which of the following uses the reciprocal property to rewrite 12/x-3 = 20/x+3?
loris [4]

<em><u>The reciprocal property is:</u></em>

\frac{x - 3}{12} = \frac{x + 3}{20}

<em><u>Solution:</u></em>

Given that,

\frac{12}{x - 3} = \frac{20}{x + 3}

<em><u>The reciprocal property is given as:</u></em>

The reciprocal of a fraction is the numerator and denominator switched

\frac{a}{b} = \frac{c}{d}\\\\Then\\\\\frac{b}{a} = \frac{d}{c}

Therefore,

\frac{12}{x - 3} = \frac{20}{x + 3}

By reciprocal property,

Switch the numerator and denominator of right side fraction as well as left side fraction

The we get,

\frac{x - 3}{12} = \frac{x + 3}{20}

Thus option C is correct

3 0
2 years ago
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