05AB1E, 50 47 43 39 bytes

I'_JU" | /_\"Xvy" |ÿ|"}"/___\ VvV"¶ý 

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Saved 8 bytes thanks to Adnan.

05AB1E, 50 47 43 37 bytes

I'_J" | /_\"svy" |ÿ|"}"/___\ VvV"» 

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Saved 9 bytes thanks to Adnan.

05AB1E, 50 47 43 bytes

I)U" | /_\"XSvy" |ÿ|"}" |_| /___\ VvV"¶ý 

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Saved 4 bytes thanks to Adnan.

There has to be a better way to get around empty input.

05AB1E, 50 47 43 39 bytes

I'_JU" | /_\"Xvy" |ÿ|"}"/___\ VvV"¶ý 

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Saved 8 bytes thanks to Adnan.

05AB1E, 50 47 bytes

I)U¶" |ÿ /_\"XSvy" |ÿ|"}¶¶" |_|ÿ/___\ÿ VvV"¶ý 

Explanation

  ¶" |ÿ /_\" # push nose-cone I)U XSvy" |ÿ|"} # if input isn't empty push body  ¶¶" |_|ÿ/___\ÿ VvV" # push base   ¶ý # join on newline 

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Currently 20% of the program exist only to check for empty input.
There has to be a better way.

05AB1E, 50 47 43 bytes

I)U" | /_\"XSvy" |ÿ|"}" |_| /___\ VvV"¶ý 

Try it online!

Saved 4 bytes thanks to Adnan.

There has to be a better way to get around empty input.