Without seeing the coin it's not possible to say why it would appear to be copper. It could have been dipped in acid, plated with copper as a school chemistry experiment, or be what's called a "lamination error" in which the outer copper-nickel layers of a normal dime separated from the copper core.
Your best bet would be to have it examined in person by a dealer or appraiser who could test its weight and look at it under a magnifier.
All circulating dimes dated 1965 and later are made of copper-nickel, not silver.
The value of a US dime marked "ten centavos" is zero, since it is a fake. A real US dime is marked "one dime," not "ten centavos."
If it is a US dime, it isn't silver. Silver stopped being used in dimes after 1964, so any dime dated 1965 or later is struck in copper-nickel and are only worth face value.
a 1917 us dime is called a mercury dime. its not that rare so it is worth about a dollar
Face value only.
All circulating dimes dated 1965 and later are made of copper-nickel, not silver.
what is the value for an American 1909 silver dime
Franklin Roosevelt is on the US dime.
The value of a US dime marked "ten centavos" is zero, since it is a fake. A real US dime is marked "one dime," not "ten centavos."
it is made out of a mixture of copper and nickel
If it is a US dime, it isn't silver. Silver stopped being used in dimes after 1964, so any dime dated 1965 or later is struck in copper-nickel and are only worth face value.
a 1917 us dime is called a mercury dime. its not that rare so it is worth about a dollar
Dimes minted for circulation haven't contained any silver since 1964. All later dimes are made of copper-nickel and are only worth 10 cents each. If your dime has the familiar copper band on its edge you have an ordinary dime. The only silver dimes minted since that time are "Prestige Proof" coins that are specially struck for sale to collectors. If your dime doesn't have the copper band but does have an "S" mint mark and is heavier than an ordinary 2005 dime, you could have a proof dime that was removed from its package. Unfortunately if it has any wear on it, its value is reduced to the melt value of about 0.07 times the price of 1 oz of silver.
A 1988 dime is worth 10 cents.
Face value only.
If the coin is the same thickness as a regular dime it's been plated and is only worth face value. If it's thinner than a regular dime and is copper on one side only, the cupronickel cladding un-bonded from the core. This is called a lamination error and is worth around $5 or $6 Note there's no such thing as a 1967-P dime because US coins dated 1965, 1966, and 1967 don't carry mint marks.
A US dime is not magnetic. It is composed of 90% silver and 10% copper and neither of those metals are magnetic.