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4 years ago

Please help me with this question below

Mathematics

1 answer:

BabaBlast [244]4 years ago

4 0

Answer:

381 cubic inches

Step-by-step explanation:

To find the volume of the cube, use the volume formula for a rectangular prism V = l*w*h and for a triangular prism V = 1/2 l*w*h.

Rectangular prism

Substitute l = 16, w = 7, and h = 3.

V = 16*7*3 = 336 cubic inches

Triangular prism

Substitute l = 5, w = 3 and h = 6.

V = 1/2*5*3*6 = 45 cubic inches

Together the volume will be 336 + 45 = 381.

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3 years ago

Find the volume of a right circular cone that has a height of 12.2 cm and a base with a circumference of 18.5 cm. Round your ans

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We have been given that a right circular cone has a height of 12.2 cm and a base with a circumference of 18.5 cm. We are asked to find the volume of the cone to nearest tenth.

We know that circumference of circle is equal to $2\pi r$ .

$2\pi r=18.5$

$r=\frac{18.5}{2\pi}$

$r=2.944366$

Now we will use volume of the cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2 h$

$V=\frac{1}{3}\pi (2.944366)^2\cdot (12.2)$

$V=\frac{1}{3}\pi (8.669291141956)\cdot (12.2)$

$V=\frac{1}{3}\pi (105.7653519318632)$

$V=\frac{1}{3}(332.2716526334804752)$

$V=110.7572175$

Upon rounding to nearest tenth, we will get:

$V\approx 110.8$

Therefore, the volume of the given cube would be approximately 110.8 cubic centimeter.

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3 years ago