Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
Answer:
5.1 cm
Step-by-step explanation:
(Probable) Question;
Given a circle with center <em>O</em> and radius 2.4 cm.<em> P</em> is a point on the tangent that touches the circle at point <em>Q</em>, such that the length of the tangent from <em>P </em>to <em>Q</em> is 4.5 cm. Find the length of OP
The given parameters are;
The radius of the circle with enter at <em>O</em>,
= 2.4 cm
The length of the tangent from<em> P</em> to the circle at point <em>Q, </em>
= 4.5 cm
The length of OP = Required
By Pythagoras's theorem, we have;
² =
² +
²
∴
² = 2.4² + 4.5² = 26.01
= √26.01 = 5.1
The length of OP = 5.1 cm
A) 5 1/2 - 2 1/4
5-2 = 3
1/2 - 1/4 = 1/4
Final Answer: 3 1/4 or in decimal 3.25
B) 13/4 + 11/2
35/4 = 8 3/4
Final Answer: 8 3/4 or in decimal 8.75