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irinina [24]
3 years ago
11

A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube? Report

your answer in mm3 but do not include the unit mm3 in your answer box. Round your answer to the nearest whole number and do not include commas in your answer. The formula for volume of a cylinder is V=πr2h.
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

20165

Step-by-step explanation:

Given:

Length/height (h) of cylindrical test tube = 152 mm

Radius of cylindrical test tube = 6.5 mm

Volume = \pi r^2h

Required:

Volume of cylinder to nearest whole number

Solution:

The volume is given as V = \pi r^2h

Take π as 3.14 and plug the values of r and h into the volume formula.

V = 3.14*6.5^2*152

V = 3.14*6.5*152 = 20165.08

Volume of the test tube = 20165 mm³ (nearest whole number)

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If two consecutive angles of a parallelogram are congruent, what is the measure of each angle?
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Answer:

Measure of each angle is 90 degree.

Step-by-step explanation:

Given : If two consecutive angles of a parallelogram are congruent.

To find the measure of each angle:

There are 6 important properties of parallelograms:

  • Opposite sides are congruent.
  • Opposite angles are congruent
  • Consecutive angles are supplementary.
  • If one of the angle is right angle, then all angles are right.
  • Diagonals of a parallelogram bisect each other
  • Also, each diagonal of a parallelogram separates it into two congruent.

let A and D be two consecutive angle.

then, by the given condition

\angle A \cong \angle D           ......[1]

From the  property of parallelogram:

Consecutive angles are supplementary

Then;

\angle A + \angle D = 180^{\circ}

From equation [1];

\angle A + \angle A = 180^{\circ}

Combine like terms :

2\angle A = 180^{\circ}

Divide both sides by 2 we get;

\frac{2 \angle A}{2} = \frac{180^{\circ}}{2}

Simplify:

\angle A = 90^{\circ}

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.

∴ \angle A = \angle B = \angle C = \angle D = 90^{\circ}

Therefore, the measure of each angle is 90^{\circ}

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