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Mathematics

2 answers:

Virty [35]2 years ago

6 0

Answer:

40 and 202.5 m³

Step-by-step explanation:

(7)

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{PQ}{16}$ = $\frac{30}{12}$ ( cross- multiply )

12 PQ = 480 ( divide both sides by 12 )

PQ = 40 in

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The volume (V) of a pyramid is calculated as

V = $\frac{1}{3}$ Ah ( A is the area of the base and h the height ) , then

V = $\frac{1}{3}$ × 9² × 7.5

= $\frac{1}{3}$ × 81 × 7.5

= 27 × 7.5

= 202.5 m³

Natali [406]2 years ago

5 0

Answer:

the volume for the second page is 607.5

Step-by-step explanation:

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Find the length of side BC. Round your answer to the nearest tenth.

Bogdan [553]

Answer: 5.4

Step-by-step explanation:

7 0

2 years ago

A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?

Leya [2.2K]

The correct answer is 5460 cubic feet or 5460 $ft^{3}$

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula $Volume =\pi r^{2} h$ . In this formula the symbol $\pi$ refers to the number 3.1415..., the letter $r$ refers to the radius of the base and the letter $h$ refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula $Area = \pi r^{2}$ , which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process: